What is the Greatest Common Factor of 87924 and 87936?

Greatest common factor (GCF) of 87924 and 87936 is 12.

GCF(87924,87936) = 12

We will now calculate the prime factors of 87924 and 87936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87924 and 87936.

How to find the GCF of 87924 and 87936?

We will first find the prime factorization of 87924 and 87936. After we will calculate the factors of 87924 and 87936 and find the biggest common factor number .

Step-1: Prime Factorization of 87924

Prime factors of 87924 are 2, 3, 17, 431. Prime factorization of 87924 in exponential form is:

87924 = 2² × 3¹ × 17¹ × 431¹

Step-2: 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-3: Factors of 87924

List of positive integer factors of 87924 that divides 87924 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 431, 862, 1293, 1724, 2586, 5172, 7327, 14654, 21981, 29308, 43962

Step-4: Factors of 87936

List of positive integer factors of 87936 that divides 87924 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87924 and 87936. The biggest common factor number is the GCF number.
So the greatest common factor 87924 and 87936 is 12.

Also check out the Least Common Multiple of 87924 and 87936