What is the Greatest Common Factor of 79195 and 79210?

Greatest common factor (GCF) of 79195 and 79210 is 5.

GCF(79195,79210) = 5

We will now calculate the prime factors of 79195 and 79210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79195 and 79210.

How to find the GCF of 79195 and 79210?

We will first find the prime factorization of 79195 and 79210. After we will calculate the factors of 79195 and 79210 and find the biggest common factor number .

Step-1: Prime Factorization of 79195

Prime factors of 79195 are 5, 47, 337. Prime factorization of 79195 in exponential form is:

79195 = 5¹ × 47¹ × 337¹

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 79195

List of positive integer factors of 79195 that divides 79195 without a remainder.

1, 5, 47, 235, 337, 1685, 15839

Step-4: Factors of 79210

List of positive integer factors of 79210 that divides 79195 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 79195 and 79210. The biggest common factor number is the GCF number.
So the greatest common factor 79195 and 79210 is 5.

Also check out the Least Common Multiple of 79195 and 79210