What is the Greatest Common Factor of 79235 and 79248?

Greatest common factor (GCF) of 79235 and 79248 is 13.

GCF(79235,79248) = 13

We will now calculate the prime factors of 79235 and 79248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79235 and 79248.

How to find the GCF of 79235 and 79248?

We will first find the prime factorization of 79235 and 79248. After we will calculate the factors of 79235 and 79248 and find the biggest common factor number .

Step-1: Prime Factorization of 79235

Prime factors of 79235 are 5, 13, 23, 53. Prime factorization of 79235 in exponential form is:

79235 = 5¹ × 13¹ × 23¹ × 53¹

Step-2: 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-3: Factors of 79235

List of positive integer factors of 79235 that divides 79235 without a remainder.

1, 5, 13, 23, 53, 65, 115, 265, 299, 689, 1219, 1495, 3445, 6095, 15847

Step-4: Factors of 79248

List of positive integer factors of 79248 that divides 79235 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79235 and 79248. The biggest common factor number is the GCF number.
So the greatest common factor 79235 and 79248 is 13.

Also check out the Least Common Multiple of 79235 and 79248