What is the Greatest Common Factor of 7365 and 7377?

Greatest common factor (GCF) of 7365 and 7377 is 3.

GCF(7365,7377) = 3

We will now calculate the prime factors of 7365 and 7377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7365 and 7377.

How to find the GCF of 7365 and 7377?

We will first find the prime factorization of 7365 and 7377. After we will calculate the factors of 7365 and 7377 and find the biggest common factor number .

Step-1: Prime Factorization of 7365

Prime factors of 7365 are 3, 5, 491. Prime factorization of 7365 in exponential form is:

7365 = 3¹ × 5¹ × 491¹

Step-2: Prime Factorization of 7377

Prime factors of 7377 are 3, 2459. Prime factorization of 7377 in exponential form is:

7377 = 3¹ × 2459¹

Step-3: Factors of 7365

List of positive integer factors of 7365 that divides 7365 without a remainder.

1, 3, 5, 15, 491, 1473, 2455

Step-4: Factors of 7377

List of positive integer factors of 7377 that divides 7365 without a remainder.

1, 3, 2459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7365 and 7377. The biggest common factor number is the GCF number.
So the greatest common factor 7365 and 7377 is 3.

Also check out the Least Common Multiple of 7365 and 7377