What is the Greatest Common Factor of 87936 and 87940?

Greatest common factor (GCF) of 87936 and 87940 is 4.

GCF(87936,87940) = 4

We will now calculate the prime factors of 87936 and 87940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87936 and 87940.

How to find the GCF of 87936 and 87940?

We will first find the prime factorization of 87936 and 87940. After we will calculate the factors of 87936 and 87940 and find the biggest common factor number .

Step-1: Prime Factorization of 87936

Prime factors of 87936 are 2, 3, 229. Prime factorization of 87936 in exponential form is:

87936 = 2⁷ × 3¹ × 229¹

Step-2: Prime Factorization of 87940

Prime factors of 87940 are 2, 5, 4397. Prime factorization of 87940 in exponential form is:

87940 = 2² × 5¹ × 4397¹

Step-3: Factors of 87936

List of positive integer factors of 87936 that divides 87936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 229, 384, 458, 687, 916, 1374, 1832, 2748, 3664, 5496, 7328, 10992, 14656, 21984, 29312, 43968

Step-4: Factors of 87940

List of positive integer factors of 87940 that divides 87936 without a remainder.

1, 2, 4, 5, 10, 20, 4397, 8794, 17588, 21985, 43970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87936 and 87940. The biggest common factor number is the GCF number.
So the greatest common factor 87936 and 87940 is 4.

Also check out the Least Common Multiple of 87936 and 87940