What is the Greatest Common Factor of 79248 and 79261?

Greatest common factor (GCF) of 79248 and 79261 is 13.

GCF(79248,79261) = 13

We will now calculate the prime factors of 79248 and 79261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79248 and 79261.

How to find the GCF of 79248 and 79261?

We will first find the prime factorization of 79248 and 79261. After we will calculate the factors of 79248 and 79261 and find the biggest common factor number .

Step-1: Prime Factorization of 79248

Prime factors of 79248 are 2, 3, 13, 127. Prime factorization of 79248 in exponential form is:

79248 = 2⁴ × 3¹ × 13¹ × 127¹

Step-2: Prime Factorization of 79261

Prime factors of 79261 are 7, 13, 67. Prime factorization of 79261 in exponential form is:

79261 = 7¹ × 13² × 67¹

Step-3: Factors of 79248

List of positive integer factors of 79248 that divides 79248 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 127, 156, 208, 254, 312, 381, 508, 624, 762, 1016, 1524, 1651, 2032, 3048, 3302, 4953, 6096, 6604, 9906, 13208, 19812, 26416, 39624

Step-4: Factors of 79261

List of positive integer factors of 79261 that divides 79248 without a remainder.

1, 7, 13, 67, 91, 169, 469, 871, 1183, 6097, 11323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79248 and 79261. The biggest common factor number is the GCF number.
So the greatest common factor 79248 and 79261 is 13.

Also check out the Least Common Multiple of 79248 and 79261