What is the Greatest Common Factor of 79248 and 79258?

Greatest common factor (GCF) of 79248 and 79258 is 2.

GCF(79248,79258) = 2

We will now calculate the prime factors of 79248 and 79258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79248 and 79258.

How to find the GCF of 79248 and 79258?

We will first find the prime factorization of 79248 and 79258. After we will calculate the factors of 79248 and 79258 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 79258

Prime factors of 79258 are 2, 23, 1723. Prime factorization of 79258 in exponential form is:

79258 = 2¹ × 23¹ × 1723¹

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 79258

List of positive integer factors of 79258 that divides 79248 without a remainder.

1, 2, 23, 46, 1723, 3446, 39629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79248 and 79258. The biggest common factor number is the GCF number.
So the greatest common factor 79248 and 79258 is 2.

Also check out the Least Common Multiple of 79248 and 79258