What is the Greatest Common Factor of 67275 and 67293?

Greatest common factor (GCF) of 67275 and 67293 is 9.

GCF(67275,67293) = 9

We will now calculate the prime factors of 67275 and 67293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67275 and 67293.

How to find the GCF of 67275 and 67293?

We will first find the prime factorization of 67275 and 67293. After we will calculate the factors of 67275 and 67293 and find the biggest common factor number .

Step-1: Prime Factorization of 67275

Prime factors of 67275 are 3, 5, 13, 23. Prime factorization of 67275 in exponential form is:

67275 = 3² × 5² × 13¹ × 23¹

Step-2: Prime Factorization of 67293

Prime factors of 67293 are 3, 7477. Prime factorization of 67293 in exponential form is:

67293 = 3² × 7477¹

Step-3: Factors of 67275

List of positive integer factors of 67275 that divides 67275 without a remainder.

1, 3, 5, 9, 13, 15, 23, 25, 39, 45, 65, 69, 75, 115, 117, 195, 207, 225, 299, 325, 345, 575, 585, 897, 975, 1035, 1495, 1725, 2691, 2925, 4485, 5175, 7475, 13455, 22425

Step-4: Factors of 67293

List of positive integer factors of 67293 that divides 67275 without a remainder.

1, 3, 9, 7477, 22431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67275 and 67293. The biggest common factor number is the GCF number.
So the greatest common factor 67275 and 67293 is 9.

Also check out the Least Common Multiple of 67275 and 67293