What is the Greatest Common Factor of 79230 and 79250?

Greatest common factor (GCF) of 79230 and 79250 is 10.

GCF(79230,79250) = 10

We will now calculate the prime factors of 79230 and 79250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79230 and 79250.

How to find the GCF of 79230 and 79250?

We will first find the prime factorization of 79230 and 79250. After we will calculate the factors of 79230 and 79250 and find the biggest common factor number .

Step-1: Prime Factorization of 79230

Prime factors of 79230 are 2, 3, 5, 19, 139. Prime factorization of 79230 in exponential form is:

79230 = 2¹ × 3¹ × 5¹ × 19¹ × 139¹

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 79230

List of positive integer factors of 79230 that divides 79230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 139, 190, 278, 285, 417, 570, 695, 834, 1390, 2085, 2641, 4170, 5282, 7923, 13205, 15846, 26410, 39615

Step-4: Factors of 79250

List of positive integer factors of 79250 that divides 79230 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 79230 and 79250. The biggest common factor number is the GCF number.
So the greatest common factor 79230 and 79250 is 10.

Also check out the Least Common Multiple of 79230 and 79250