GCF for 5, 12 and 20
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 5, 12 and 20?
Answer
GCF of 5, 12 and 20 is
1
Common factors: 1
Only 1 divides all three: no prime is a factor of each of 5, 12 and 20.
Pairs do share factors — GCF(5, 20) = 5, GCF(12, 20) = 4 — just none greater than 1 common to all three.
5 — prime
12 = 22 × 3
20 = 22 × 5
| Prime | 5 | 12 | 20 | Lowest power |
|---|---|---|---|---|
| 2 | — | 22 | 22 | — |
| 3 | — | 3 | — | — |
| 5 | 5 | — | 5 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 1
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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 5, 12 and 20?
GCF of 5, 12 and 20 is 1
What prime factors do 5, 12 and 20 share?
None at all: 5, 12 and 20 have no prime factor in common, so the only positive integer dividing all three is 1 and their GCF is 1.
Can you get the GCF of 5, 12 and 20 two numbers at a time?
Yes. The GCF of 5 and 12 is 1, and the GCF of 1 and 20 is 1 — 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 5 : 12 : 20?
Divide every term by the GCF 1: 5 ÷ 1 = 5, 12 ÷ 1 = 12 and 20 ÷ 1 = 20. So 5 : 12 : 20 in lowest terms is 5 : 12 : 20, and no whole number other than 1 divides all three of those.
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