What is the Greatest Common Factor of 87659 and 87672?

Greatest common factor (GCF) of 87659 and 87672 is 13.

GCF(87659,87672) = 13

We will now calculate the prime factors of 87659 and 87672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87659 and 87672.

How to find the GCF of 87659 and 87672?

We will first find the prime factorization of 87659 and 87672. After we will calculate the factors of 87659 and 87672 and find the biggest common factor number .

Step-1: Prime Factorization of 87659

Prime factors of 87659 are 11, 13, 613. Prime factorization of 87659 in exponential form is:

87659 = 11¹ × 13¹ × 613¹

Step-2: 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-3: Factors of 87659

List of positive integer factors of 87659 that divides 87659 without a remainder.

1, 11, 13, 143, 613, 6743, 7969

Step-4: Factors of 87672

List of positive integer factors of 87672 that divides 87659 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87659 and 87672. The biggest common factor number is the GCF number.
So the greatest common factor 87659 and 87672 is 13.

Also check out the Least Common Multiple of 87659 and 87672