What is the Greatest Common Factor of 79232 and 79248?

Greatest common factor (GCF) of 79232 and 79248 is 16.

GCF(79232,79248) = 16

We will now calculate the prime factors of 79232 and 79248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79232 and 79248.

How to find the GCF of 79232 and 79248?

We will first find the prime factorization of 79232 and 79248. After we will calculate the factors of 79232 and 79248 and find the biggest common factor number .

Step-1: Prime Factorization of 79232

Prime factors of 79232 are 2, 619. Prime factorization of 79232 in exponential form is:

79232 = 2⁷ × 619¹

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 79232

List of positive integer factors of 79232 that divides 79232 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 619, 1238, 2476, 4952, 9904, 19808, 39616

Step-4: Factors of 79248

List of positive integer factors of 79248 that divides 79232 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 79232 and 79248. The biggest common factor number is the GCF number.
So the greatest common factor 79232 and 79248 is 16.

Also check out the Least Common Multiple of 79232 and 79248