What is the Greatest Common Factor of 87664 and 87672?

Greatest common factor (GCF) of 87664 and 87672 is 8.

GCF(87664,87672) = 8

We will now calculate the prime factors of 87664 and 87672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87664 and 87672.

How to find the GCF of 87664 and 87672?

We will first find the prime factorization of 87664 and 87672. After we will calculate the factors of 87664 and 87672 and find the biggest common factor number .

Step-1: Prime Factorization of 87664

Prime factors of 87664 are 2, 5479. Prime factorization of 87664 in exponential form is:

87664 = 2⁴ × 5479¹

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 87664

List of positive integer factors of 87664 that divides 87664 without a remainder.

1, 2, 4, 8, 16, 5479, 10958, 21916, 43832

Step-4: Factors of 87672

List of positive integer factors of 87672 that divides 87664 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 87664 and 87672. The biggest common factor number is the GCF number.
So the greatest common factor 87664 and 87672 is 8.

Also check out the Least Common Multiple of 87664 and 87672