What is the Greatest Common Factor of 87139 and 87152?

Greatest common factor (GCF) of 87139 and 87152 is 13.

GCF(87139,87152) = 13

We will now calculate the prime factors of 87139 and 87152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87139 and 87152.

How to find the GCF of 87139 and 87152?

We will first find the prime factorization of 87139 and 87152. After we will calculate the factors of 87139 and 87152 and find the biggest common factor number .

Step-1: Prime Factorization of 87139

Prime factors of 87139 are 13, 6703. Prime factorization of 87139 in exponential form is:

87139 = 13¹ × 6703¹

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 87139

List of positive integer factors of 87139 that divides 87139 without a remainder.

1, 13, 6703

Step-4: Factors of 87152

List of positive integer factors of 87152 that divides 87139 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 87139 and 87152. The biggest common factor number is the GCF number.
So the greatest common factor 87139 and 87152 is 13.

Also check out the Least Common Multiple of 87139 and 87152