What is the Greatest Common Factor of 87650 and 87670?

Greatest common factor (GCF) of 87650 and 87670 is 10.

GCF(87650,87670) = 10

We will now calculate the prime factors of 87650 and 87670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87650 and 87670.

How to find the GCF of 87650 and 87670?

We will first find the prime factorization of 87650 and 87670. After we will calculate the factors of 87650 and 87670 and find the biggest common factor number .

Step-1: Prime Factorization of 87650

Prime factors of 87650 are 2, 5, 1753. Prime factorization of 87650 in exponential form is:

87650 = 2¹ × 5² × 1753¹

Step-2: Prime Factorization of 87670

Prime factors of 87670 are 2, 5, 11, 797. Prime factorization of 87670 in exponential form is:

87670 = 2¹ × 5¹ × 11¹ × 797¹

Step-3: Factors of 87650

List of positive integer factors of 87650 that divides 87650 without a remainder.

1, 2, 5, 10, 25, 50, 1753, 3506, 8765, 17530, 43825

Step-4: Factors of 87670

List of positive integer factors of 87670 that divides 87650 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 797, 1594, 3985, 7970, 8767, 17534, 43835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87650 and 87670. The biggest common factor number is the GCF number.
So the greatest common factor 87650 and 87670 is 10.

Also check out the Least Common Multiple of 87650 and 87670