What is the Greatest Common Factor of 87136 and 87148?

Greatest common factor (GCF) of 87136 and 87148 is 4.

GCF(87136,87148) = 4

We will now calculate the prime factors of 87136 and 87148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87136 and 87148.

How to find the GCF of 87136 and 87148?

We will first find the prime factorization of 87136 and 87148. After we will calculate the factors of 87136 and 87148 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87148

Prime factors of 87148 are 2, 21787. Prime factorization of 87148 in exponential form is:

87148 = 2² × 21787¹

Step-3: Factors of 87136

List of positive integer factors of 87136 that divides 87136 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

Step-4: Factors of 87148

List of positive integer factors of 87148 that divides 87136 without a remainder.

1, 2, 4, 21787, 43574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87136 and 87148. The biggest common factor number is the GCF number.
So the greatest common factor 87136 and 87148 is 4.

Also check out the Least Common Multiple of 87136 and 87148