What is the Greatest Common Factor of 67407 and 67425?

Greatest common factor (GCF) of 67407 and 67425 is 3.

GCF(67407,67425) = 3

We will now calculate the prime factors of 67407 and 67425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67407 and 67425.

How to find the GCF of 67407 and 67425?

We will first find the prime factorization of 67407 and 67425. After we will calculate the factors of 67407 and 67425 and find the biggest common factor number .

Step-1: Prime Factorization of 67407

Prime factors of 67407 are 3, 22469. Prime factorization of 67407 in exponential form is:

67407 = 3¹ × 22469¹

Step-2: Prime Factorization of 67425

Prime factors of 67425 are 3, 5, 29, 31. Prime factorization of 67425 in exponential form is:

67425 = 3¹ × 5² × 29¹ × 31¹

Step-3: Factors of 67407

List of positive integer factors of 67407 that divides 67407 without a remainder.

1, 3, 22469

Step-4: Factors of 67425

List of positive integer factors of 67425 that divides 67407 without a remainder.

1, 3, 5, 15, 25, 29, 31, 75, 87, 93, 145, 155, 435, 465, 725, 775, 899, 2175, 2325, 2697, 4495, 13485, 22475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67407 and 67425. The biggest common factor number is the GCF number.
So the greatest common factor 67407 and 67425 is 3.

Also check out the Least Common Multiple of 67407 and 67425