GCF of 125 and 150 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 125 and 150?

Answer

GCF of 125 and 150 is
25

(Twenty-five)

Finding GCF for 125 and 150 using all factors (divisors) listing

The first method to find GCF for numbers 125 and 150 is to list all factors for both numbers and pick the highest common one:

All factors of 125: 1, 5, 25, 125

All factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

So the Greatest Common Factor for 125 and 150 is 25

Finding GCF for 125 and 150 by Prime Factorization

The second method to find GCF for numbers 125 and 150 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 125: 5, 5, 5

All Prime Factors of 150: 2, 3, 5, 5

As we can see there are Prime Factors common to both numbers: 5, 5

Now we need to multiply them to find GCF: 5 × 5 = 25

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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 125 and 150? (The answer is: 25). Select the first number (e.g. '125') and the second number (e.g. '150'). 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
1251355
1251361
1251371
1251381
1251391
1251405
1251411
1251421
1251431
1251441
1251455
1251461
1251471
1251481
1251491
12515025
1251511
1251521
1251531
1251541
1251555
1251561
1251571
1251581
1251591
1251605
1251611
1251621
1251631
1251641

FAQ

What is the Greatest Common Divisor of 125 and 150?

GCF of 125 and 150 is 25

How to find the GCF of 125 and 150?

You can find the GCF of 125 and 150 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 125 and 150 is 25.

What prime factors do 125 and 150 share?

The prime factorizations of 125 and 150 have 5 × 5 in common, and multiplying those shared primes gives 25 — exactly the greatest common factor.

How does the GCF reduce the fraction 125/150?

Divide the numerator and the denominator by the GCF 25: 125 ÷ 25 = 5 and 150 ÷ 25 = 6. So 125/150 in lowest terms is 5/6.

See Also