What is the Greatest Common Factor of 4356 and 4371?

Greatest common factor (GCF) of 4356 and 4371 is 3.

GCF(4356,4371) = 3

We will now calculate the prime factors of 4356 and 4371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4356 and 4371.

How to find the GCF of 4356 and 4371?

We will first find the prime factorization of 4356 and 4371. After we will calculate the factors of 4356 and 4371 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 4371

Prime factors of 4371 are 3, 31, 47. Prime factorization of 4371 in exponential form is:

4371 = 3¹ × 31¹ × 47¹

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 4371

List of positive integer factors of 4371 that divides 4356 without a remainder.

1, 3, 31, 47, 93, 141, 1457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4356 and 4371. The biggest common factor number is the GCF number.
So the greatest common factor 4356 and 4371 is 3.

Also check out the Least Common Multiple of 4356 and 4371