What is the Greatest Common Factor of 79190 and 79210?

Greatest common factor (GCF) of 79190 and 79210 is 10.

GCF(79190,79210) = 10

We will now calculate the prime factors of 79190 and 79210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79190 and 79210.

How to find the GCF of 79190 and 79210?

We will first find the prime factorization of 79190 and 79210. After we will calculate the factors of 79190 and 79210 and find the biggest common factor number .

Step-1: Prime Factorization of 79190

Prime factors of 79190 are 2, 5, 7919. Prime factorization of 79190 in exponential form is:

79190 = 2¹ × 5¹ × 7919¹

Step-2: Prime Factorization of 79210

Prime factors of 79210 are 2, 5, 89. Prime factorization of 79210 in exponential form is:

79210 = 2¹ × 5¹ × 89²

Step-3: Factors of 79190

List of positive integer factors of 79190 that divides 79190 without a remainder.

1, 2, 5, 10, 7919, 15838, 39595

Step-4: Factors of 79210

List of positive integer factors of 79210 that divides 79190 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890, 7921, 15842, 39605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79190 and 79210. The biggest common factor number is the GCF number.
So the greatest common factor 79190 and 79210 is 10.

Also check out the Least Common Multiple of 79190 and 79210