GCF for 100 and 510

What is the Greatest common Divisor of 100 and 510?

Answer: GCF of 100 and 510 is 10

(Ten)

Finding GCF for 100 and 510 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 510 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 510: 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

So the Greatest Common Factor for 100 and 510 is 10

Finding GCF for 100 and 510 by Prime Factorization

The second method to find GCF for numbers 100 and 510 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 510: 2, 3, 5, 17

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
8551085
865102
875103
885102
895101
9051030
915101
925102
935103
945102
955105
965106
975101
985102
995103
10051010
1015101
102510102
1035101
1045102
10551015
1065102
1075101
1085106
1095101
11051010
1115103
1125102
1135101
1145106

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 510? (The answer is: 10). Select the first number (e.g. '100') and the second number (e.g. '510'). 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 510?

GCF of 100 and 510 is 10