Factors of 28
The factors of 28 are the numbers that divide it exactly. Finding factors is the first step in simplifying fractions and factoring expressions.
A composite carrying 6 factors — factors always arrive in mirrored pairs, so the count comes out even. The largest prime factor is 7: 28 = 7 × 4. Every factor together sums to 56 — the proper divisors (all factors but 28 itself) add to 28, which is exactly its own size, making 28 a perfect number. Shared factors between two numbers are what the GCF calculator hunts — the pairing column above feeds that search directly.
| Factor | Pairing |
|---|---|
| 1 | 1 × 28 = 28 |
| 2 | 2 × 14 = 28 |
| 4 | 4 × 7 = 28 |
| 7 | 7 × 4 = 28 |
| 14 | 14 × 2 = 28 |
| 28 | 28 × 1 = 28 |
Frequently asked questions
What are the factors of 28?
The factors of 28 are 1, 2, 4, 7, 14, 28 — that is 6 factors in total.
How do you find factors of 28?
Test each number from 1 up to 28: if it divides 28 with no remainder, it is a factor. Pair test — every factor pairs with a cofactor, like 1 × 2 = 28.
Why do factors matter for simplifying fractions?
Simplification divides both top and bottom by their greatest common factor — so a shared factor between two numbers, like you can find in the tables above, makes the fraction smaller and cleaner.