What is the Greatest Common Factor of 67365 and 67377?

Greatest common factor (GCF) of 67365 and 67377 is 3.

GCF(67365,67377) = 3

We will now calculate the prime factors of 67365 and 67377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67365 and 67377.

How to find the GCF of 67365 and 67377?

We will first find the prime factorization of 67365 and 67377. After we will calculate the factors of 67365 and 67377 and find the biggest common factor number .

Step-1: Prime Factorization of 67365

Prime factors of 67365 are 3, 5, 499. Prime factorization of 67365 in exponential form is:

67365 = 3³ × 5¹ × 499¹

Step-2: Prime Factorization of 67377

Prime factors of 67377 are 3, 37, 607. Prime factorization of 67377 in exponential form is:

67377 = 3¹ × 37¹ × 607¹

Step-3: Factors of 67365

List of positive integer factors of 67365 that divides 67365 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 499, 1497, 2495, 4491, 7485, 13473, 22455

Step-4: Factors of 67377

List of positive integer factors of 67377 that divides 67365 without a remainder.

1, 3, 37, 111, 607, 1821, 22459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67365 and 67377. The biggest common factor number is the GCF number.
So the greatest common factor 67365 and 67377 is 3.

Also check out the Least Common Multiple of 67365 and 67377