GCF for 4, 6 and 20
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 4, 6 and 20?
Answer
GCF of 4, 6 and 20 is
2
Common factors: 1, 2
2 divides all three: 4 ÷ 2 = 2, 6 ÷ 2 = 3, 20 ÷ 2 = 10 — and 2, 3 and 10 have no factor but 1 common to all of them, so no larger number divides all three.
4 = 22
6 = 2 × 3
20 = 22 × 5
| Prime | 4 | 6 | 20 | Lowest power |
|---|---|---|---|---|
| 2 | 22 | 2 | 22 | 2 |
| 3 | — | 3 | — | — |
| 5 | — | — | 5 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 2
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See Also
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
GCF Table
FAQ
What's the Greatest Common Factor (GCF) of 4, 6 and 20?
GCF of 4, 6 and 20 is 2
What prime factors do 4, 6 and 20 share?
All three factorizations contain 2, and multiplying those shared primes gives 2 — exactly the greatest common factor.
Can you get the GCF of 4, 6 and 20 two numbers at a time?
Yes. The GCF of 4 and 6 is 2, and the GCF of 2 and 20 is 2 — the same answer, because the greatest common factor is associative and does not depend on the order of the three numbers.
How does the GCF simplify the ratio 4 : 6 : 20?
Divide every term by the GCF 2: 4 ÷ 2 = 2, 6 ÷ 2 = 3 and 20 ÷ 2 = 10. So 4 : 6 : 20 in lowest terms is 2 : 3 : 10, and no whole number other than 1 divides all three of those.
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