What is the Greatest Common Factor of 79104 and 79113?

Greatest common factor (GCF) of 79104 and 79113 is 3.

GCF(79104,79113) = 3

We will now calculate the prime factors of 79104 and 79113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79104 and 79113.

How to find the GCF of 79104 and 79113?

We will first find the prime factorization of 79104 and 79113. After we will calculate the factors of 79104 and 79113 and find the biggest common factor number .

Step-1: Prime Factorization of 79104

Prime factors of 79104 are 2, 3, 103. Prime factorization of 79104 in exponential form is:

79104 = 2⁸ × 3¹ × 103¹

Step-2: Prime Factorization of 79113

Prime factors of 79113 are 3, 26371. Prime factorization of 79113 in exponential form is:

79113 = 3¹ × 26371¹

Step-3: Factors of 79104

List of positive integer factors of 79104 that divides 79104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 103, 128, 192, 206, 256, 309, 384, 412, 618, 768, 824, 1236, 1648, 2472, 3296, 4944, 6592, 9888, 13184, 19776, 26368, 39552

Step-4: Factors of 79113

List of positive integer factors of 79113 that divides 79104 without a remainder.

1, 3, 26371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79104 and 79113. The biggest common factor number is the GCF number.
So the greatest common factor 79104 and 79113 is 3.

Also check out the Least Common Multiple of 79104 and 79113