GCF of 150 and 250 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 150 and 250?

Answer

GCF of 150 and 250 is
50

(Fifty)

Finding GCF for 150 and 250 using all factors (divisors) listing

The first method to find GCF for numbers 150 and 250 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 250: 1, 2, 5, 10, 25, 50, 125, 250

So the Greatest Common Factor for 150 and 250 is 50

Finding GCF for 150 and 250 by Prime Factorization

The second method to find GCF for numbers 150 and 250 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 250: 2, 5, 5, 5

As we can see there are Prime Factors common to both numbers: 2, 5, 5

Now we need to multiply them to find GCF: 2 × 5 × 5 = 50

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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 250? (The answer is: 50). Select the first number (e.g. '150') and the second number (e.g. '250'). 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
1502355
1502362
1502373
1502382
1502391
15024030
1502411
1502422
1502433
1502442
1502455
1502466
1502471
1502482
1502493
15025050
1502511
1502526
1502531
1502542
15025515
1502562
1502571
1502586
1502591
15026010
1502613
1502622
1502631
1502646

FAQ

What is the Greatest Common Divisor of 150 and 250?

GCF of 150 and 250 is 50

How to find the GCF of 150 and 250?

You can find the GCF of 150 and 250 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 150 and 250 is 50.

What prime factors do 150 and 250 share?

The prime factorizations of 150 and 250 have 2 × 5 × 5 in common, and multiplying those shared primes gives 50 — exactly the greatest common factor.

How does the GCF reduce the fraction 150/250?

Divide the numerator and the denominator by the GCF 50: 150 ÷ 50 = 3 and 250 ÷ 50 = 5. So 150/250 in lowest terms is 3/5.

See Also