What is the Greatest Common Factor of 79120 and 79125?

Greatest common factor (GCF) of 79120 and 79125 is 5.

GCF(79120,79125) = 5

We will now calculate the prime factors of 79120 and 79125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79120 and 79125.

How to find the GCF of 79120 and 79125?

We will first find the prime factorization of 79120 and 79125. After we will calculate the factors of 79120 and 79125 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 79125

Prime factors of 79125 are 3, 5, 211. Prime factorization of 79125 in exponential form is:

79125 = 3¹ × 5³ × 211¹

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 79125

List of positive integer factors of 79125 that divides 79120 without a remainder.

1, 3, 5, 15, 25, 75, 125, 211, 375, 633, 1055, 3165, 5275, 15825, 26375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79120 and 79125. The biggest common factor number is the GCF number.
So the greatest common factor 79120 and 79125 is 5.

Also check out the Least Common Multiple of 79120 and 79125