What is the Greatest Common Factor of 87116 and 87136?

Greatest common factor (GCF) of 87116 and 87136 is 4.

GCF(87116,87136) = 4

We will now calculate the prime factors of 87116 and 87136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87116 and 87136.

How to find the GCF of 87116 and 87136?

We will first find the prime factorization of 87116 and 87136. After we will calculate the factors of 87116 and 87136 and find the biggest common factor number .

Step-1: Prime Factorization of 87116

Prime factors of 87116 are 2, 29, 751. Prime factorization of 87116 in exponential form is:

87116 = 2² × 29¹ × 751¹

Step-2: Prime Factorization of 87136

Prime factors of 87136 are 2, 7, 389. Prime factorization of 87136 in exponential form is:

87136 = 2⁵ × 7¹ × 389¹

Step-3: Factors of 87116

List of positive integer factors of 87116 that divides 87116 without a remainder.

1, 2, 4, 29, 58, 116, 751, 1502, 3004, 21779, 43558

Step-4: Factors of 87136

List of positive integer factors of 87136 that divides 87116 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 389, 778, 1556, 2723, 3112, 5446, 6224, 10892, 12448, 21784, 43568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87116 and 87136. The biggest common factor number is the GCF number.
So the greatest common factor 87116 and 87136 is 4.

Also check out the Least Common Multiple of 87116 and 87136