GCF for 70 and 600

What is the Greatest Common Factor of 70 and 600?

Answer: GCF of 70 and 600 is 10

(Ten)

Finding GCF for 70 and 600 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 600 is to list all factors for both numbers and pick the highest common one:

All factors of 70: 1, 2, 5, 7, 10, 14, 35, 70

All factors of 600: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

So the Greatest Common Factor for 70 and 600 is 10

Finding GCF for 70 and 600 by Prime Factorization

The second method to find GCF for numbers 70 and 600 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 70: 2, 5, 7

All Prime Factors of 600: 2, 2, 2, 3, 5, 5

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

Now we need to multiply them to find GCF: 2 × 5 = 10

GCF Table

Number 1Number 2GCF
556005
566008
576003
586002
596001
6060060
616001
626002
636003
646008
656005
666006
676001
686004
696003
7060010
716001
7260024
736001
746002
7560075
766004
776001
786006
796001
8060040
816003
826002
836001
8460012

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 70 and 600? (The answer is: 10). Select the first number (e.g. '70') and the second number (e.g. '600'). 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 70 and 600?

GCF of 70 and 600 is 10