GCF for 50 and 700

What is the Greatest Common Factor of 50 and 700?

Answer: GCF of 50 and 700 is 50

(Fifty)

Finding GCF for 50 and 700 using all factors (divisors) listing

The first method to find GCF for numbers 50 and 700 is to list all factors for both numbers and pick the highest common one:

All factors of 50: 1, 2, 5, 10, 25, 50

All factors of 700: 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

So the Greatest Common Factor for 50 and 700 is 50

Finding GCF for 50 and 700 by Prime Factorization

The second method to find GCF for numbers 50 and 700 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 50: 2, 5, 5

All Prime Factors of 700: 2, 2, 5, 5, 7

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

GCF Table

Number 1Number 2GCF
3570035
367004
377001
387002
397001
4070020
417001
4270014
437001
447004
457005
467002
477001
487004
497007
5070050
517001
527004
537001
547002
557005
5670028
577001
587002
597001
6070020
617001
627002
637007
647004

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 Factor of 50 and 700? (The answer is: 50). Select the first number (e.g. '50') and the second number (e.g. '700'). 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

FAQ

What is the Greatest Common Factor of 50 and 700?

GCF of 50 and 700 is 50