What is the Greatest Common Factor of 79339 and 79352?

Greatest common factor (GCF) of 79339 and 79352 is 13.

GCF(79339,79352) = 13

We will now calculate the prime factors of 79339 and 79352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79339 and 79352.

How to find the GCF of 79339 and 79352?

We will first find the prime factorization of 79339 and 79352. After we will calculate the factors of 79339 and 79352 and find the biggest common factor number .

Step-1: Prime Factorization of 79339

Prime factors of 79339 are 13, 17, 359. Prime factorization of 79339 in exponential form is:

79339 = 13¹ × 17¹ × 359¹

Step-2: Prime Factorization of 79352

Prime factors of 79352 are 2, 7, 13, 109. Prime factorization of 79352 in exponential form is:

79352 = 2³ × 7¹ × 13¹ × 109¹

Step-3: Factors of 79339

List of positive integer factors of 79339 that divides 79339 without a remainder.

1, 13, 17, 221, 359, 4667, 6103

Step-4: Factors of 79352

List of positive integer factors of 79352 that divides 79339 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 109, 182, 218, 364, 436, 728, 763, 872, 1417, 1526, 2834, 3052, 5668, 6104, 9919, 11336, 19838, 39676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79339 and 79352. The biggest common factor number is the GCF number.
So the greatest common factor 79339 and 79352 is 13.

Also check out the Least Common Multiple of 79339 and 79352