GCF for 100 and 530

What is the Greatest common Divisor of 100 and 530?

Answer: GCF of 100 and 530 is 10

(Ten)

Finding GCF for 100 and 530 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 530 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 530: 1, 2, 5, 10, 53, 106, 265, 530

So the Greatest Common Factor for 100 and 530 is 10

Finding GCF for 100 and 530 by Prime Factorization

The second method to find GCF for numbers 100 and 530 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 530: 2, 5, 53

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
855305
865302
875301
885302
895301
9053010
915301
925302
935301
945302
955305
965302
975301
985302
995301
10053010
1015301
1025302
1035301
1045302
1055305
106530106
1075301
1085302
1095301
11053010
1115301
1125302
1135301
1145302

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 530? (The answer is: 10). Select the first number (e.g. '100') and the second number (e.g. '530'). 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 530?

GCF of 100 and 530 is 10