GCF (HCF) of 6 and 100
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What is the Greatest Common Divisor of 6 and 100?
Answer
GCF (HCF) of 6 and 100 is
2
Common factors: 1, 2
2 divides both: 6 ÷ 2 = 3, 100 ÷ 2 = 50 — and 3 and 50 share no factor but 1, so no larger number divides both.
6 = 2 × 3
100 = 22 × 52
| Prime | 6 | 100 | Lowest power |
|---|---|---|---|
| 2 | 2 | 22 | 2 |
| 3 | 3 | — | — |
| 5 | — | 52 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 2
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- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
GCF Table
FAQ
What is the Greatest Common Divisor of 6 and 100?
GCF (HCF) of 6 and 100 is 2
How to find the GCF of 6 and 100?
You can find the GCF of 6 and 100 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 6 and 100 is 2.
What prime factors do 6 and 100 share?
The prime factorizations of 6 and 100 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.
How does the GCF reduce the fraction 6/100?
Divide the numerator and the denominator by the GCF 2: 6 ÷ 2 = 3 and 100 ÷ 2 = 50. So 6/100 in lowest terms is 3/50.
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