What is the Greatest Common Factor of 4356 and 4362?

Greatest common factor (GCF) of 4356 and 4362 is 6.

GCF(4356,4362) = 6

We will now calculate the prime factors of 4356 and 4362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4356 and 4362.

How to find the GCF of 4356 and 4362?

We will first find the prime factorization of 4356 and 4362. After we will calculate the factors of 4356 and 4362 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 4362

Prime factors of 4362 are 2, 3, 727. Prime factorization of 4362 in exponential form is:

4362 = 2¹ × 3¹ × 727¹

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 4362

List of positive integer factors of 4362 that divides 4356 without a remainder.

1, 2, 3, 6, 727, 1454, 2181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4356 and 4362. The biggest common factor number is the GCF number.
So the greatest common factor 4356 and 4362 is 6.

Also check out the Least Common Multiple of 4356 and 4362