What is the Greatest Common Factor of 79240 and 79250?

Greatest common factor (GCF) of 79240 and 79250 is 10.

GCF(79240,79250) = 10

We will now calculate the prime factors of 79240 and 79250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79240 and 79250.

How to find the GCF of 79240 and 79250?

We will first find the prime factorization of 79240 and 79250. After we will calculate the factors of 79240 and 79250 and find the biggest common factor number .

Step-1: Prime Factorization of 79240

Prime factors of 79240 are 2, 5, 7, 283. Prime factorization of 79240 in exponential form is:

79240 = 2³ × 5¹ × 7¹ × 283¹

Step-2: Prime Factorization of 79250

Prime factors of 79250 are 2, 5, 317. Prime factorization of 79250 in exponential form is:

79250 = 2¹ × 5³ × 317¹

Step-3: Factors of 79240

List of positive integer factors of 79240 that divides 79240 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 283, 566, 1132, 1415, 1981, 2264, 2830, 3962, 5660, 7924, 9905, 11320, 15848, 19810, 39620

Step-4: Factors of 79250

List of positive integer factors of 79250 that divides 79240 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 317, 634, 1585, 3170, 7925, 15850, 39625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79240 and 79250. The biggest common factor number is the GCF number.
So the greatest common factor 79240 and 79250 is 10.

Also check out the Least Common Multiple of 79240 and 79250