GCF for 100 and 610

What is the Greatest common Divisor of 100 and 610?

Answer: GCF of 100 and 610 is 10

(Ten)

Finding GCF for 100 and 610 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 610 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 610: 1, 2, 5, 10, 61, 122, 305, 610

So the Greatest Common Factor for 100 and 610 is 10

Finding GCF for 100 and 610 by Prime Factorization

The second method to find GCF for numbers 100 and 610 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 610: 2, 5, 61

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
856105
866102
876101
886102
896101
9061010
916101
926102
936101
946102
956105
966102
976101
986102
996101
10061010
1016101
1026102
1036101
1046102
1056105
1066102
1076101
1086102
1096101
11061010
1116101
1126102
1136101
1146102

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 Divisor of 100 and 610? (The answer is: 10). Select the first number (e.g. '100') and the second number (e.g. '610'). 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 Divisor of 100 and 610?

GCF of 100 and 610 is 10