What is the Greatest Common Factor of 79024 and 79038?

Greatest common factor (GCF) of 79024 and 79038 is 2.

GCF(79024,79038) = 2

We will now calculate the prime factors of 79024 and 79038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79024 and 79038.

How to find the GCF of 79024 and 79038?

We will first find the prime factorization of 79024 and 79038. After we will calculate the factors of 79024 and 79038 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 79038

Prime factors of 79038 are 2, 3, 4391. Prime factorization of 79038 in exponential form is:

79038 = 2¹ × 3² × 4391¹

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 79038

List of positive integer factors of 79038 that divides 79024 without a remainder.

1, 2, 3, 6, 9, 18, 4391, 8782, 13173, 26346, 39519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79024 and 79038. The biggest common factor number is the GCF number.
So the greatest common factor 79024 and 79038 is 2.

Also check out the Least Common Multiple of 79024 and 79038