GCF for 90 and 870

What is the Greatest Common Factor of 90 and 870?

Answer: GCF of 90 and 870 is 30

(Thirty)

Finding GCF for 90 and 870 using all factors (divisors) listing

The first method to find GCF for numbers 90 and 870 is to list all factors for both numbers and pick the highest common one:

All factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

All factors of 870: 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

So the Greatest Common Factor for 90 and 870 is 30

Finding GCF for 90 and 870 by Prime Factorization

The second method to find GCF for numbers 90 and 870 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 90: 2, 3, 3, 5

All Prime Factors of 870: 2, 3, 5, 29

As we can see there are Prime Factors common to both numbers: 2, 3, 5

Now we need to multiply them to find GCF: 2 × 3 × 5 = 30

GCF Table

Number 1Number 2GCF
7587015
768702
778701
788706
798701
8087010
818703
828702
838701
848706
858705
868702
8787087
888702
898701
9087030
918701
928702
938703
948702
958705
968706
978701
988702
998703
10087010
1018701
1028706
1038701
1048702

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 90 and 870? (The answer is: 30). Select the first number (e.g. '90') and the second number (e.g. '870'). 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 90 and 870?

GCF of 90 and 870 is 30