GCF for 100 and 700

What is the Greatest Common Factor of 100 and 700?

Answer: GCF of 100 and 700 is 100

(Hundred)

Finding GCF for 100 and 700 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 700 is to list all factors for both numbers and pick the highest common one:

All factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

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 100 and 700 is 100

Finding GCF for 100 and 700 by Prime Factorization

The second method to find GCF for numbers 100 and 700 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 100: 2, 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, 2, 5, 5

Now we need to multiply them to find GCF: 2 × 2 × 5 × 5 = 100

Related Calculations

GCF Table

Number 1Number 2GCF
857005
867002
877001
887004
897001
9070010
917007
927004
937001
947002
957005
967004
977001
9870014
997001
100700100
1017001
1027002
1037001
1047004
10570035
1067002
1077001
1087004
1097001
11070010
1117001
11270028
1137001
1147002

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 100 and 700? (The answer is: 100). Select the first number (e.g. '100') 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 100 and 700?

GCF of 100 and 700 is 100