What is the Greatest Common Factor of 79136 and 79148?

Greatest common factor (GCF) of 79136 and 79148 is 4.

GCF(79136,79148) = 4

We will now calculate the prime factors of 79136 and 79148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79136 and 79148.

How to find the GCF of 79136 and 79148?

We will first find the prime factorization of 79136 and 79148. After we will calculate the factors of 79136 and 79148 and find the biggest common factor number .

Step-1: Prime Factorization of 79136

Prime factors of 79136 are 2, 2473. Prime factorization of 79136 in exponential form is:

79136 = 2⁵ × 2473¹

Step-2: Prime Factorization of 79148

Prime factors of 79148 are 2, 47, 421. Prime factorization of 79148 in exponential form is:

79148 = 2² × 47¹ × 421¹

Step-3: Factors of 79136

List of positive integer factors of 79136 that divides 79136 without a remainder.

1, 2, 4, 8, 16, 32, 2473, 4946, 9892, 19784, 39568

Step-4: Factors of 79148

List of positive integer factors of 79148 that divides 79136 without a remainder.

1, 2, 4, 47, 94, 188, 421, 842, 1684, 19787, 39574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79136 and 79148. The biggest common factor number is the GCF number.
So the greatest common factor 79136 and 79148 is 4.

Also check out the Least Common Multiple of 79136 and 79148