What is the Greatest Common Factor of 69315 and 69325?

Greatest common factor (GCF) of 69315 and 69325 is 5.

GCF(69315,69325) = 5

We will now calculate the prime factors of 69315 and 69325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69315 and 69325.

How to find the GCF of 69315 and 69325?

We will first find the prime factorization of 69315 and 69325. After we will calculate the factors of 69315 and 69325 and find the biggest common factor number .

Step-1: Prime Factorization of 69315

Prime factors of 69315 are 3, 5, 4621. Prime factorization of 69315 in exponential form is:

69315 = 3¹ × 5¹ × 4621¹

Step-2: Prime Factorization of 69325

Prime factors of 69325 are 5, 47, 59. Prime factorization of 69325 in exponential form is:

69325 = 5² × 47¹ × 59¹

Step-3: Factors of 69315

List of positive integer factors of 69315 that divides 69315 without a remainder.

1, 3, 5, 15, 4621, 13863, 23105

Step-4: Factors of 69325

List of positive integer factors of 69325 that divides 69315 without a remainder.

1, 5, 25, 47, 59, 235, 295, 1175, 1475, 2773, 13865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69315 and 69325. The biggest common factor number is the GCF number.
So the greatest common factor 69315 and 69325 is 5.

Also check out the Least Common Multiple of 69315 and 69325