What is the Greatest Common Factor of 79352 and 79365?

Greatest common factor (GCF) of 79352 and 79365 is 13.

GCF(79352,79365) = 13

We will now calculate the prime factors of 79352 and 79365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79352 and 79365.

How to find the GCF of 79352 and 79365?

We will first find the prime factorization of 79352 and 79365. After we will calculate the factors of 79352 and 79365 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79365

Prime factors of 79365 are 3, 5, 11, 13, 37. Prime factorization of 79365 in exponential form is:

79365 = 3¹ × 5¹ × 11¹ × 13¹ × 37¹

Step-3: Factors of 79352

List of positive integer factors of 79352 that divides 79352 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

Step-4: Factors of 79365

List of positive integer factors of 79365 that divides 79352 without a remainder.

1, 3, 5, 11, 13, 15, 33, 37, 39, 55, 65, 111, 143, 165, 185, 195, 407, 429, 481, 555, 715, 1221, 1443, 2035, 2145, 2405, 5291, 6105, 7215, 15873, 26455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79352 and 79365. The biggest common factor number is the GCF number.
So the greatest common factor 79352 and 79365 is 13.

Also check out the Least Common Multiple of 79352 and 79365