What is the Greatest Common Factor of 7365 and 7374?

Greatest common factor (GCF) of 7365 and 7374 is 3.

GCF(7365,7374) = 3

We will now calculate the prime factors of 7365 and 7374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7365 and 7374.

How to find the GCF of 7365 and 7374?

We will first find the prime factorization of 7365 and 7374. After we will calculate the factors of 7365 and 7374 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 7374

Prime factors of 7374 are 2, 3, 1229. Prime factorization of 7374 in exponential form is:

7374 = 2¹ × 3¹ × 1229¹

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 7374

List of positive integer factors of 7374 that divides 7365 without a remainder.

1, 2, 3, 6, 1229, 2458, 3687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7365 and 7374. The biggest common factor number is the GCF number.
So the greatest common factor 7365 and 7374 is 3.

Also check out the Least Common Multiple of 7365 and 7374