GCF for 100 and 590

What is the Greatest common Divisor of 100 and 590?

Answer: GCF of 100 and 590 is 10

(Ten)

Finding GCF for 100 and 590 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 590 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 590: 1, 2, 5, 10, 59, 118, 295, 590

So the Greatest Common Factor for 100 and 590 is 10

Finding GCF for 100 and 590 by Prime Factorization

The second method to find GCF for numbers 100 and 590 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 590: 2, 5, 59

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
855905
865902
875901
885902
895901
9059010
915901
925902
935901
945902
955905
965902
975901
985902
995901
10059010
1015901
1025902
1035901
1045902
1055905
1065902
1075901
1085902
1095901
11059010
1115901
1125902
1135901
1145902

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 590? (The answer is: 10). Select the first number (e.g. '100') and the second number (e.g. '590'). 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 590?

GCF of 100 and 590 is 10