What is the Greatest Common Factor of 87144 and 87160?

Greatest common factor (GCF) of 87144 and 87160 is 8.

GCF(87144,87160) = 8

We will now calculate the prime factors of 87144 and 87160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87144 and 87160.

How to find the GCF of 87144 and 87160?

We will first find the prime factorization of 87144 and 87160. After we will calculate the factors of 87144 and 87160 and find the biggest common factor number .

Step-1: Prime Factorization of 87144

Prime factors of 87144 are 2, 3, 3631. Prime factorization of 87144 in exponential form is:

87144 = 2³ × 3¹ × 3631¹

Step-2: Prime Factorization of 87160

Prime factors of 87160 are 2, 5, 2179. Prime factorization of 87160 in exponential form is:

87160 = 2³ × 5¹ × 2179¹

Step-3: Factors of 87144

List of positive integer factors of 87144 that divides 87144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3631, 7262, 10893, 14524, 21786, 29048, 43572

Step-4: Factors of 87160

List of positive integer factors of 87160 that divides 87144 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2179, 4358, 8716, 10895, 17432, 21790, 43580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87144 and 87160. The biggest common factor number is the GCF number.
So the greatest common factor 87144 and 87160 is 8.

Also check out the Least Common Multiple of 87144 and 87160