What is the Greatest Common Factor of 79225 and 79245?

Greatest common factor (GCF) of 79225 and 79245 is 5.

GCF(79225,79245) = 5

We will now calculate the prime factors of 79225 and 79245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79225 and 79245.

How to find the GCF of 79225 and 79245?

We will first find the prime factorization of 79225 and 79245. After we will calculate the factors of 79225 and 79245 and find the biggest common factor number .

Step-1: Prime Factorization of 79225

Prime factors of 79225 are 5, 3169. Prime factorization of 79225 in exponential form is:

79225 = 5² × 3169¹

Step-2: Prime Factorization of 79245

Prime factors of 79245 are 3, 5, 587. Prime factorization of 79245 in exponential form is:

79245 = 3³ × 5¹ × 587¹

Step-3: Factors of 79225

List of positive integer factors of 79225 that divides 79225 without a remainder.

1, 5, 25, 3169, 15845

Step-4: Factors of 79245

List of positive integer factors of 79245 that divides 79225 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 587, 1761, 2935, 5283, 8805, 15849, 26415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79225 and 79245. The biggest common factor number is the GCF number.
So the greatest common factor 79225 and 79245 is 5.

Also check out the Least Common Multiple of 79225 and 79245