GCF for 100 and 670

What is the Greatest Common Factor of 100 and 670?

Answer: GCF of 100 and 670 is 10

(Ten)

Finding GCF for 100 and 670 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 670 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 670: 1, 2, 5, 10, 67, 134, 335, 670

So the Greatest Common Factor for 100 and 670 is 10

Finding GCF for 100 and 670 by Prime Factorization

The second method to find GCF for numbers 100 and 670 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 670: 2, 5, 67

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
856705
866702
876701
886702
896701
9067010
916701
926702
936701
946702
956705
966702
976701
986702
996701
10067010
1016701
1026702
1036701
1046702
1056705
1066702
1076701
1086702
1096701
11067010
1116701
1126702
1136701
1146702

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 670? (The answer is: 10). Select the first number (e.g. '100') and the second number (e.g. '670'). 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 670?

GCF of 100 and 670 is 10