What is the Greatest Common Factor of 79024 and 79028?

Greatest common factor (GCF) of 79024 and 79028 is 4.

GCF(79024,79028) = 4

We will now calculate the prime factors of 79024 and 79028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79024 and 79028.

How to find the GCF of 79024 and 79028?

We will first find the prime factorization of 79024 and 79028. After we will calculate the factors of 79024 and 79028 and find the biggest common factor number .

Step-1: Prime Factorization of 79024

Prime factors of 79024 are 2, 11, 449. Prime factorization of 79024 in exponential form is:

79024 = 2⁴ × 11¹ × 449¹

Step-2: Prime Factorization of 79028

Prime factors of 79028 are 2, 23, 859. Prime factorization of 79028 in exponential form is:

79028 = 2² × 23¹ × 859¹

Step-3: Factors of 79024

List of positive integer factors of 79024 that divides 79024 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 449, 898, 1796, 3592, 4939, 7184, 9878, 19756, 39512

Step-4: Factors of 79028

List of positive integer factors of 79028 that divides 79024 without a remainder.

1, 2, 4, 23, 46, 92, 859, 1718, 3436, 19757, 39514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79024 and 79028. The biggest common factor number is the GCF number.
So the greatest common factor 79024 and 79028 is 4.

Also check out the Least Common Multiple of 79024 and 79028