What is the Greatest Common Factor of 79048 and 79056?

Greatest common factor (GCF) of 79048 and 79056 is 8.

GCF(79048,79056) = 8

We will now calculate the prime factors of 79048 and 79056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79048 and 79056.

How to find the GCF of 79048 and 79056?

We will first find the prime factorization of 79048 and 79056. After we will calculate the factors of 79048 and 79056 and find the biggest common factor number .

Step-1: Prime Factorization of 79048

Prime factors of 79048 are 2, 41, 241. Prime factorization of 79048 in exponential form is:

79048 = 2³ × 41¹ × 241¹

Step-2: Prime Factorization of 79056

Prime factors of 79056 are 2, 3, 61. Prime factorization of 79056 in exponential form is:

79056 = 2⁴ × 3⁴ × 61¹

Step-3: Factors of 79048

List of positive integer factors of 79048 that divides 79048 without a remainder.

1, 2, 4, 8, 41, 82, 164, 241, 328, 482, 964, 1928, 9881, 19762, 39524

Step-4: Factors of 79056

List of positive integer factors of 79056 that divides 79048 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 61, 72, 81, 108, 122, 144, 162, 183, 216, 244, 324, 366, 432, 488, 549, 648, 732, 976, 1098, 1296, 1464, 1647, 2196, 2928, 3294, 4392, 4941, 6588, 8784, 9882, 13176, 19764, 26352, 39528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79048 and 79056. The biggest common factor number is the GCF number.
So the greatest common factor 79048 and 79056 is 8.

Also check out the Least Common Multiple of 79048 and 79056