What is the Greatest Common Factor of 87136 and 87152?

Greatest common factor (GCF) of 87136 and 87152 is 16.

GCF(87136,87152) = 16

We will now calculate the prime factors of 87136 and 87152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87136 and 87152.

How to find the GCF of 87136 and 87152?

We will first find the prime factorization of 87136 and 87152. After we will calculate the factors of 87136 and 87152 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 87152

Prime factors of 87152 are 2, 13, 419. Prime factorization of 87152 in exponential form is:

87152 = 2⁴ × 13¹ × 419¹

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 87152

List of positive integer factors of 87152 that divides 87136 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 419, 838, 1676, 3352, 5447, 6704, 10894, 21788, 43576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87136 and 87152. The biggest common factor number is the GCF number.
So the greatest common factor 87136 and 87152 is 16.

Also check out the Least Common Multiple of 87136 and 87152