What is the Greatest Common Factor of 4365 and 4374?

Greatest common factor (GCF) of 4365 and 4374 is 9.

GCF(4365,4374) = 9

We will now calculate the prime factors of 4365 and 4374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4365 and 4374.

How to find the GCF of 4365 and 4374?

We will first find the prime factorization of 4365 and 4374. After we will calculate the factors of 4365 and 4374 and find the biggest common factor number .

Step-1: Prime Factorization of 4365

Prime factors of 4365 are 3, 5, 97. Prime factorization of 4365 in exponential form is:

4365 = 3² × 5¹ × 97¹

Step-2: Prime Factorization of 4374

Prime factors of 4374 are 2, 3. Prime factorization of 4374 in exponential form is:

4374 = 2¹ × 3⁷

Step-3: Factors of 4365

List of positive integer factors of 4365 that divides 4365 without a remainder.

1, 3, 5, 9, 15, 45, 97, 291, 485, 873, 1455

Step-4: Factors of 4374

List of positive integer factors of 4374 that divides 4365 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4365 and 4374. The biggest common factor number is the GCF number.
So the greatest common factor 4365 and 4374 is 9.

Also check out the Least Common Multiple of 4365 and 4374