What is the Greatest Common Factor of 73195 and 73215?

Greatest common factor (GCF) of 73195 and 73215 is 5.

GCF(73195,73215) = 5

We will now calculate the prime factors of 73195 and 73215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73195 and 73215.

How to find the GCF of 73195 and 73215?

We will first find the prime factorization of 73195 and 73215. After we will calculate the factors of 73195 and 73215 and find the biggest common factor number .

Step-1: Prime Factorization of 73195

Prime factors of 73195 are 5, 14639. Prime factorization of 73195 in exponential form is:

73195 = 5¹ × 14639¹

Step-2: Prime Factorization of 73215

Prime factors of 73215 are 3, 5, 1627. Prime factorization of 73215 in exponential form is:

73215 = 3² × 5¹ × 1627¹

Step-3: Factors of 73195

List of positive integer factors of 73195 that divides 73195 without a remainder.

1, 5, 14639

Step-4: Factors of 73215

List of positive integer factors of 73215 that divides 73195 without a remainder.

1, 3, 5, 9, 15, 45, 1627, 4881, 8135, 14643, 24405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73195 and 73215. The biggest common factor number is the GCF number.
So the greatest common factor 73195 and 73215 is 5.

Also check out the Least Common Multiple of 73195 and 73215