What is the Greatest Common Factor of 53208 and 53224?

Greatest common factor (GCF) of 53208 and 53224 is 8.

GCF(53208,53224) = 8

We will now calculate the prime factors of 53208 and 53224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53208 and 53224.

How to find the GCF of 53208 and 53224?

We will first find the prime factorization of 53208 and 53224. After we will calculate the factors of 53208 and 53224 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 53224

Prime factors of 53224 are 2, 6653. Prime factorization of 53224 in exponential form is:

53224 = 2³ × 6653¹

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 53224

List of positive integer factors of 53224 that divides 53208 without a remainder.

1, 2, 4, 8, 6653, 13306, 26612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53208 and 53224. The biggest common factor number is the GCF number.
So the greatest common factor 53208 and 53224 is 8.

Also check out the Least Common Multiple of 53208 and 53224