GCF for 45, 70 and 85
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 45, 70 and 85?
Answer
GCF of 45, 70 and 85 is
5
Common factors: 1, 5
5 divides all three: 45 ÷ 5 = 9, 70 ÷ 5 = 14, 85 ÷ 5 = 17 — and 9, 14 and 17 have no factor but 1 common to all of them, so no larger number divides all three.
45 = 32 × 5
70 = 2 × 5 × 7
85 = 5 × 17
| Prime | 45 | 70 | 85 | Lowest power |
|---|---|---|---|---|
| 2 | — | 2 | — | — |
| 3 | 32 | — | — | — |
| 5 | 5 | 5 | 5 | 5 |
| 7 | — | 7 | — | — |
| 17 | — | — | 17 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 5
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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
| 1st | 2nd | 3rd | GCF |
|---|---|---|---|
| 45 | 70 | 70 | 5 |
| 45 | 70 | 71 | 1 |
| 45 | 70 | 72 | 1 |
| 45 | 70 | 73 | 1 |
| 45 | 70 | 74 | 1 |
| 45 | 70 | 75 | 5 |
| 45 | 70 | 76 | 1 |
| 45 | 70 | 77 | 1 |
| 45 | 70 | 78 | 1 |
| 45 | 70 | 79 | 1 |
| 45 | 70 | 80 | 5 |
| 45 | 70 | 81 | 1 |
| 45 | 70 | 82 | 1 |
| 45 | 70 | 83 | 1 |
| 45 | 70 | 84 | 1 |
| 45 | 70 | 85 | 5 |
| 45 | 70 | 86 | 1 |
| 45 | 70 | 87 | 1 |
| 45 | 70 | 88 | 1 |
| 45 | 70 | 89 | 1 |
| 45 | 70 | 90 | 5 |
| 45 | 70 | 91 | 1 |
| 45 | 70 | 92 | 1 |
| 45 | 70 | 93 | 1 |
| 45 | 70 | 94 | 1 |
| 45 | 70 | 95 | 5 |
| 45 | 70 | 96 | 1 |
| 45 | 70 | 97 | 1 |
| 45 | 70 | 98 | 1 |
| 45 | 70 | 99 | 1 |
FAQ
What's the Greatest Common Factor (GCF) of 45, 70 and 85?
GCF of 45, 70 and 85 is 5
What prime factors do 45, 70 and 85 share?
All three factorizations contain 5, and multiplying those shared primes gives 5 — exactly the greatest common factor.
Can you get the GCF of 45, 70 and 85 two numbers at a time?
Yes. The GCF of 45 and 70 is 5, and the GCF of 5 and 85 is 5 — 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 45 : 70 : 85?
Divide every term by the GCF 5: 45 ÷ 5 = 9, 70 ÷ 5 = 14 and 85 ÷ 5 = 17. So 45 : 70 : 85 in lowest terms is 9 : 14 : 17, and no whole number other than 1 divides all three of those.
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