What is the Greatest Common Factor of 87936 and 87947?

Greatest common factor (GCF) of 87936 and 87947 is 1.

GCF(87936,87947) = 1

We will now calculate the prime factors of 87936 and 87947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87936 and 87947.

How to find the GCF of 87936 and 87947?

We will first find the prime factorization of 87936 and 87947. After we will calculate the factors of 87936 and 87947 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 87947

Prime factors of 87947 are 31, 2837. Prime factorization of 87947 in exponential form is:

87947 = 31¹ × 2837¹

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 87947

List of positive integer factors of 87947 that divides 87936 without a remainder.

1, 31, 2837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87936 and 87947. The biggest common factor number is the GCF number.
So the greatest common factor 87936 and 87947 is 1.

Also check out the Least Common Multiple of 87936 and 87947