What is the Greatest Common Factor of 87016 and 87024?

Greatest common factor (GCF) of 87016 and 87024 is 8.

GCF(87016,87024) = 8

We will now calculate the prime factors of 87016 and 87024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87016 and 87024.

How to find the GCF of 87016 and 87024?

We will first find the prime factorization of 87016 and 87024. After we will calculate the factors of 87016 and 87024 and find the biggest common factor number .

Step-1: Prime Factorization of 87016

Prime factors of 87016 are 2, 73, 149. Prime factorization of 87016 in exponential form is:

87016 = 2³ × 73¹ × 149¹

Step-2: Prime Factorization of 87024

Prime factors of 87024 are 2, 3, 7, 37. Prime factorization of 87024 in exponential form is:

87024 = 2⁴ × 3¹ × 7² × 37¹

Step-3: Factors of 87016

List of positive integer factors of 87016 that divides 87016 without a remainder.

1, 2, 4, 8, 73, 146, 149, 292, 298, 584, 596, 1192, 10877, 21754, 43508

Step-4: Factors of 87024

List of positive integer factors of 87024 that divides 87016 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 37, 42, 48, 49, 56, 74, 84, 98, 111, 112, 147, 148, 168, 196, 222, 259, 294, 296, 336, 392, 444, 518, 588, 592, 777, 784, 888, 1036, 1176, 1554, 1776, 1813, 2072, 2352, 3108, 3626, 4144, 5439, 6216, 7252, 10878, 12432, 14504, 21756, 29008, 43512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87016 and 87024. The biggest common factor number is the GCF number.
So the greatest common factor 87016 and 87024 is 8.

Also check out the Least Common Multiple of 87016 and 87024