What is the Greatest Common Factor of 87672 and 87680?

Greatest common factor (GCF) of 87672 and 87680 is 8.

GCF(87672,87680) = 8

We will now calculate the prime factors of 87672 and 87680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87672 and 87680.

How to find the GCF of 87672 and 87680?

We will first find the prime factorization of 87672 and 87680. After we will calculate the factors of 87672 and 87680 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 87680

Prime factors of 87680 are 2, 5, 137. Prime factorization of 87680 in exponential form is:

87680 = 2⁷ × 5¹ × 137¹

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 87680

List of positive integer factors of 87680 that divides 87672 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 137, 160, 274, 320, 548, 640, 685, 1096, 1370, 2192, 2740, 4384, 5480, 8768, 10960, 17536, 21920, 43840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87672 and 87680. The biggest common factor number is the GCF number.
So the greatest common factor 87672 and 87680 is 8.

Also check out the Least Common Multiple of 87672 and 87680