What is the Greatest Common Factor of 79326 and 79339?

Greatest common factor (GCF) of 79326 and 79339 is 13.

GCF(79326,79339) = 13

We will now calculate the prime factors of 79326 and 79339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79326 and 79339.

How to find the GCF of 79326 and 79339?

We will first find the prime factorization of 79326 and 79339. After we will calculate the factors of 79326 and 79339 and find the biggest common factor number .

Step-1: Prime Factorization of 79326

Prime factors of 79326 are 2, 3, 13, 113. Prime factorization of 79326 in exponential form is:

79326 = 2¹ × 3³ × 13¹ × 113¹

Step-2: 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-3: Factors of 79326

List of positive integer factors of 79326 that divides 79326 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 113, 117, 226, 234, 339, 351, 678, 702, 1017, 1469, 2034, 2938, 3051, 4407, 6102, 8814, 13221, 26442, 39663

Step-4: Factors of 79339

List of positive integer factors of 79339 that divides 79326 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79326 and 79339. The biggest common factor number is the GCF number.
So the greatest common factor 79326 and 79339 is 13.

Also check out the Least Common Multiple of 79326 and 79339