GCF of 150 and 275 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 150 and 275?

Answer

GCF of 150 and 275 is
25

(Twenty-five)

Finding GCF for 150 and 275 using all factors (divisors) listing

The first method to find GCF for numbers 150 and 275 is to list all factors for both numbers and pick the highest common one:

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

All factors of 275: 1, 5, 11, 25, 55, 275

So the Greatest Common Factor for 150 and 275 is 25

Finding GCF for 150 and 275 by Prime Factorization

The second method to find GCF for numbers 150 and 275 is to list all Prime Factors for both numbers and multiply the common ones:

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

All Prime Factors of 275: 5, 5, 11

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 150 and 275? (The answer is: 25). Select the first number (e.g. '150') and the second number (e.g. '275'). 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
15026010
1502613
1502622
1502631
1502646
1502655
1502662
1502673
1502682
1502691
15027030
1502711
1502722
1502733
1502742
15027525
1502766
1502771
1502782
1502793
15028010
1502811
1502826
1502831
1502842
15028515
1502862
1502871
1502886
1502891

FAQ

What is the Greatest Common Divisor of 150 and 275?

GCF of 150 and 275 is 25

How to find the GCF of 150 and 275?

You can find the GCF of 150 and 275 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 150 and 275 is 25.

What prime factors do 150 and 275 share?

The prime factorizations of 150 and 275 have 5 × 5 in common, and multiplying those shared primes gives 25 — exactly the greatest common factor.

How does the GCF reduce the fraction 150/275?

Divide the numerator and the denominator by the GCF 25: 150 ÷ 25 = 6 and 275 ÷ 25 = 11. So 150/275 in lowest terms is 6/11.

See Also