What is the Greatest Common Factor of 53316 and 53334?

Greatest common factor (GCF) of 53316 and 53334 is 18.

GCF(53316,53334) = 18

We will now calculate the prime factors of 53316 and 53334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53316 and 53334.

How to find the GCF of 53316 and 53334?

We will first find the prime factorization of 53316 and 53334. After we will calculate the factors of 53316 and 53334 and find the biggest common factor number .

Step-1: Prime Factorization of 53316

Prime factors of 53316 are 2, 3, 1481. Prime factorization of 53316 in exponential form is:

53316 = 2² × 3² × 1481¹

Step-2: Prime Factorization of 53334

Prime factors of 53334 are 2, 3, 2963. Prime factorization of 53334 in exponential form is:

53334 = 2¹ × 3² × 2963¹

Step-3: Factors of 53316

List of positive integer factors of 53316 that divides 53316 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1481, 2962, 4443, 5924, 8886, 13329, 17772, 26658

Step-4: Factors of 53334

List of positive integer factors of 53334 that divides 53316 without a remainder.

1, 2, 3, 6, 9, 18, 2963, 5926, 8889, 17778, 26667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53316 and 53334. The biggest common factor number is the GCF number.
So the greatest common factor 53316 and 53334 is 18.

Also check out the Least Common Multiple of 53316 and 53334