What is the Greatest Common Factor of 79148 and 79152?

Greatest common factor (GCF) of 79148 and 79152 is 4.

GCF(79148,79152) = 4

We will now calculate the prime factors of 79148 and 79152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79148 and 79152.

How to find the GCF of 79148 and 79152?

We will first find the prime factorization of 79148 and 79152. After we will calculate the factors of 79148 and 79152 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79152

Prime factors of 79152 are 2, 3, 17, 97. Prime factorization of 79152 in exponential form is:

79152 = 2⁴ × 3¹ × 17¹ × 97¹

Step-3: Factors of 79148

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

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

Step-4: Factors of 79152

List of positive integer factors of 79152 that divides 79148 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 97, 102, 136, 194, 204, 272, 291, 388, 408, 582, 776, 816, 1164, 1552, 1649, 2328, 3298, 4656, 4947, 6596, 9894, 13192, 19788, 26384, 39576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79148 and 79152. The biggest common factor number is the GCF number.
So the greatest common factor 79148 and 79152 is 4.

Also check out the Least Common Multiple of 79148 and 79152