GCF (HCF) of 3 and 75

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Greatest Common Factor of
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What is the Greatest Common Divisor of 3 and 75?

Answer

GCF (HCF) of 3 and 75 is
3

Common factors: 1, 3

3 divides 75 (75 ÷ 3 = 25), so the GCF is the smaller number itself.

3 — prime

75 = 3 × 52

Prime375Lowest power
3333
5—52—

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 3

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GCF Table

Number 1Number 2GCF
3101
3111
3123
3141
3153
3161
3171
3183
3213
3221
3243
3251
3273
3291
3303
3341
3363
3423
3461
3471
3483
3513
3543
3551
3573
3581
3651
3753
3813
31001

FAQ

What is the Greatest Common Divisor of 3 and 75?

GCF (HCF) of 3 and 75 is 3

How to find the GCF of 3 and 75?

You can find the GCF of 3 and 75 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 3 and 75 is 3.

What prime factors do 3 and 75 share?

The prime factorizations of 3 and 75 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

How does the GCF reduce the fraction 3/75?

Divide the numerator and the denominator by the GCF 3: 3 ÷ 3 = 1 and 75 ÷ 3 = 25. So 3/75 in lowest terms is 1/25.

See Also