What is the Greatest Common Factor of 79120 and 79138?

Greatest common factor (GCF) of 79120 and 79138 is 2.

GCF(79120,79138) = 2

We will now calculate the prime factors of 79120 and 79138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79120 and 79138.

How to find the GCF of 79120 and 79138?

We will first find the prime factorization of 79120 and 79138. After we will calculate the factors of 79120 and 79138 and find the biggest common factor number .

Step-1: Prime Factorization of 79120

Prime factors of 79120 are 2, 5, 23, 43. Prime factorization of 79120 in exponential form is:

79120 = 2⁴ × 5¹ × 23¹ × 43¹

Step-2: Prime Factorization of 79138

Prime factors of 79138 are 2, 39569. Prime factorization of 79138 in exponential form is:

79138 = 2¹ × 39569¹

Step-3: Factors of 79120

List of positive integer factors of 79120 that divides 79120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 43, 46, 80, 86, 92, 115, 172, 184, 215, 230, 344, 368, 430, 460, 688, 860, 920, 989, 1720, 1840, 1978, 3440, 3956, 4945, 7912, 9890, 15824, 19780, 39560

Step-4: Factors of 79138

List of positive integer factors of 79138 that divides 79120 without a remainder.

1, 2, 39569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79120 and 79138. The biggest common factor number is the GCF number.
So the greatest common factor 79120 and 79138 is 2.

Also check out the Least Common Multiple of 79120 and 79138