What is the Greatest Common Factor of 53208 and 53226?

Greatest common factor (GCF) of 53208 and 53226 is 18.

GCF(53208,53226) = 18

We will now calculate the prime factors of 53208 and 53226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53208 and 53226.

How to find the GCF of 53208 and 53226?

We will first find the prime factorization of 53208 and 53226. After we will calculate the factors of 53208 and 53226 and find the biggest common factor number .

Step-1: Prime Factorization of 53208

Prime factors of 53208 are 2, 3, 739. Prime factorization of 53208 in exponential form is:

53208 = 2³ × 3² × 739¹

Step-2: Prime Factorization of 53226

Prime factors of 53226 are 2, 3, 2957. Prime factorization of 53226 in exponential form is:

53226 = 2¹ × 3² × 2957¹

Step-3: Factors of 53208

List of positive integer factors of 53208 that divides 53208 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 739, 1478, 2217, 2956, 4434, 5912, 6651, 8868, 13302, 17736, 26604

Step-4: Factors of 53226

List of positive integer factors of 53226 that divides 53208 without a remainder.

1, 2, 3, 6, 9, 18, 2957, 5914, 8871, 17742, 26613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53208 and 53226. The biggest common factor number is the GCF number.
So the greatest common factor 53208 and 53226 is 18.

Also check out the Least Common Multiple of 53208 and 53226