What is the Greatest Common Factor of 53208 and 53223?

Greatest common factor (GCF) of 53208 and 53223 is 3.

GCF(53208,53223) = 3

We will now calculate the prime factors of 53208 and 53223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53208 and 53223.

How to find the GCF of 53208 and 53223?

We will first find the prime factorization of 53208 and 53223. After we will calculate the factors of 53208 and 53223 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 53223

Prime factors of 53223 are 3, 113, 157. Prime factorization of 53223 in exponential form is:

53223 = 3¹ × 113¹ × 157¹

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 53223

List of positive integer factors of 53223 that divides 53208 without a remainder.

1, 3, 113, 157, 339, 471, 17741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53208 and 53223. The biggest common factor number is the GCF number.
So the greatest common factor 53208 and 53223 is 3.

Also check out the Least Common Multiple of 53208 and 53223