What is the Greatest Common Factor of 4356 and 4374?

Greatest common factor (GCF) of 4356 and 4374 is 18.

GCF(4356,4374) = 18

We will now calculate the prime factors of 4356 and 4374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4356 and 4374.

How to find the GCF of 4356 and 4374?

We will first find the prime factorization of 4356 and 4374. After we will calculate the factors of 4356 and 4374 and find the biggest common factor number .

Step-1: Prime Factorization of 4356

Prime factors of 4356 are 2, 3, 11. Prime factorization of 4356 in exponential form is:

4356 = 2² × 3² × 11²

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 4356

List of positive integer factors of 4356 that divides 4356 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 121, 132, 198, 242, 363, 396, 484, 726, 1089, 1452, 2178

Step-4: Factors of 4374

List of positive integer factors of 4374 that divides 4356 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 4356 and 4374. The biggest common factor number is the GCF number.
So the greatest common factor 4356 and 4374 is 18.

Also check out the Least Common Multiple of 4356 and 4374