GCF of 5 and 75 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 5 and 75?

Answer

GCF of 5 and 75 is
5

(Five)

Finding GCF for 5 and 75 using all factors (divisors) listing

The first method to find GCF for numbers 5 and 75 is to list all factors for both numbers and pick the highest common one:

All factors of 5: 1, 5

All factors of 75: 1, 3, 5, 15, 25, 75

So the Greatest Common Factor for 5 and 75 is 5

Finding GCF for 5 and 75 by Prime Factorization

The second method to find GCF for numbers 5 and 75 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 5: 5

All Prime Factors of 75: 3, 5, 5

As we can see there is only one Prime Factor common to both numbers. It is 5

So 5 is the Greatest Common Factor of 5 and 75

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About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 5 and 75? (The answer is: 5). Select the first number (e.g. '5') and the second number (e.g. '75'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.
"Greatest Common Factor" Calculator
Greatest Common Factor of
and

GCF Table

Number 1Number 2GCF
5271
5281
5305
5311
5321
5331
5341
5355
5361
5371
5405
5441
5455
5461
5471
5505
5521
5531
5561
5571
5605
5655
5705
5755
5805
5905
51005
51205
51255
51505

FAQ

What is the Greatest Common Divisor of 5 and 75?

GCF of 5 and 75 is 5

How to find the GCF of 5 and 75?

You can find the GCF of 5 and 75 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 5 and 75 is 5.

What prime factors do 5 and 75 share?

The prime factorizations of 5 and 75 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 5/75?

Divide the numerator and the denominator by the GCF 5: 5 ÷ 5 = 1 and 75 ÷ 5 = 15. So 5/75 in lowest terms is 1/15.

See Also