What is the Greatest Common Factor of 79120 and 79135?

Greatest common factor (GCF) of 79120 and 79135 is 5.

GCF(79120,79135) = 5

We will now calculate the prime factors of 79120 and 79135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79120 and 79135.

How to find the GCF of 79120 and 79135?

We will first find the prime factorization of 79120 and 79135. After we will calculate the factors of 79120 and 79135 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 79135

Prime factors of 79135 are 5, 7, 17, 19. Prime factorization of 79135 in exponential form is:

79135 = 5¹ × 7² × 17¹ × 19¹

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 79135

List of positive integer factors of 79135 that divides 79120 without a remainder.

1, 5, 7, 17, 19, 35, 49, 85, 95, 119, 133, 245, 323, 595, 665, 833, 931, 1615, 2261, 4165, 4655, 11305, 15827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79120 and 79135. The biggest common factor number is the GCF number.
So the greatest common factor 79120 and 79135 is 5.

Also check out the Least Common Multiple of 79120 and 79135