What is the Greatest Common Factor of 79120 and 79139?

Greatest common factor (GCF) of 79120 and 79139 is 1.

GCF(79120,79139) = 1

We will now calculate the prime factors of 79120 and 79139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79120 and 79139.

How to find the GCF of 79120 and 79139?

We will first find the prime factorization of 79120 and 79139. After we will calculate the factors of 79120 and 79139 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 79139

Prime factors of 79139 are 79139. Prime factorization of 79139 in exponential form is:

79139 = 79139¹

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 79139

List of positive integer factors of 79139 that divides 79120 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79120 and 79139. The biggest common factor number is the GCF number.
So the greatest common factor 79120 and 79139 is 1.

Also check out the Least Common Multiple of 79120 and 79139