GCF for 100 and 740

What is the Greatest Common Factor of 100 and 740?

Answer: GCF of 100 and 740 is 20

(Twenty)

Finding GCF for 100 and 740 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 740 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 740: 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

So the Greatest Common Factor for 100 and 740 is 20

Finding GCF for 100 and 740 by Prime Factorization

The second method to find GCF for numbers 100 and 740 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 740: 2, 2, 5, 37

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

Now we need to multiply them to find GCF: 2 × 2 × 5 = 20

GCF Table

Number 1Number 2GCF
857405
867402
877401
887404
897401
9074010
917401
927404
937401
947402
957405
967404
977401
987402
997401
10074020
1017401
1027402
1037401
1047404
1057405
1067402
1077401
1087404
1097401
11074010
11174037
1127404
1137401
1147402

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 740? (The answer is: 20). Select the first number (e.g. '100') and the second number (e.g. '740'). 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 740?

GCF of 100 and 740 is 20