What is the Greatest Common Factor of 78136 and 78152?

Greatest common factor (GCF) of 78136 and 78152 is 8.

GCF(78136,78152) = 8

We will now calculate the prime factors of 78136 and 78152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78136 and 78152.

How to find the GCF of 78136 and 78152?

We will first find the prime factorization of 78136 and 78152. After we will calculate the factors of 78136 and 78152 and find the biggest common factor number .

Step-1: Prime Factorization of 78136

Prime factors of 78136 are 2, 9767. Prime factorization of 78136 in exponential form is:

78136 = 2³ × 9767¹

Step-2: Prime Factorization of 78152

Prime factors of 78152 are 2, 9769. Prime factorization of 78152 in exponential form is:

78152 = 2³ × 9769¹

Step-3: Factors of 78136

List of positive integer factors of 78136 that divides 78136 without a remainder.

1, 2, 4, 8, 9767, 19534, 39068

Step-4: Factors of 78152

List of positive integer factors of 78152 that divides 78136 without a remainder.

1, 2, 4, 8, 9769, 19538, 39076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78136 and 78152. The biggest common factor number is the GCF number.
So the greatest common factor 78136 and 78152 is 8.

Also check out the Least Common Multiple of 78136 and 78152