What is the Greatest Common Factor of 5208 and 5227?

Greatest common factor (GCF) of 5208 and 5227 is 1.

GCF(5208,5227) = 1

We will now calculate the prime factors of 5208 and 5227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5208 and 5227.

How to find the GCF of 5208 and 5227?

We will first find the prime factorization of 5208 and 5227. After we will calculate the factors of 5208 and 5227 and find the biggest common factor number .

Step-1: Prime Factorization of 5208

Prime factors of 5208 are 2, 3, 7, 31. Prime factorization of 5208 in exponential form is:

5208 = 2³ × 3¹ × 7¹ × 31¹

Step-2: Prime Factorization of 5227

Prime factors of 5227 are 5227. Prime factorization of 5227 in exponential form is:

5227 = 5227¹

Step-3: Factors of 5208

List of positive integer factors of 5208 that divides 5208 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 31, 42, 56, 62, 84, 93, 124, 168, 186, 217, 248, 372, 434, 651, 744, 868, 1302, 1736, 2604

Step-4: Factors of 5227

List of positive integer factors of 5227 that divides 5208 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5208 and 5227. The biggest common factor number is the GCF number.
So the greatest common factor 5208 and 5227 is 1.

Also check out the Least Common Multiple of 5208 and 5227