What is the Greatest Common Factor of 87672 and 87687?

Greatest common factor (GCF) of 87672 and 87687 is 3.

GCF(87672,87687) = 3

We will now calculate the prime factors of 87672 and 87687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87672 and 87687.

How to find the GCF of 87672 and 87687?

We will first find the prime factorization of 87672 and 87687. After we will calculate the factors of 87672 and 87687 and find the biggest common factor number .

Step-1: Prime Factorization of 87672

Prime factors of 87672 are 2, 3, 13, 281. Prime factorization of 87672 in exponential form is:

87672 = 2³ × 3¹ × 13¹ × 281¹

Step-2: Prime Factorization of 87687

Prime factors of 87687 are 3, 9743. Prime factorization of 87687 in exponential form is:

87687 = 3² × 9743¹

Step-3: Factors of 87672

List of positive integer factors of 87672 that divides 87672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 281, 312, 562, 843, 1124, 1686, 2248, 3372, 3653, 6744, 7306, 10959, 14612, 21918, 29224, 43836

Step-4: Factors of 87687

List of positive integer factors of 87687 that divides 87672 without a remainder.

1, 3, 9, 9743, 29229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87672 and 87687. The biggest common factor number is the GCF number.
So the greatest common factor 87672 and 87687 is 3.

Also check out the Least Common Multiple of 87672 and 87687