What is the Greatest Common Factor of 52234 and 52247?

Greatest common factor (GCF) of 52234 and 52247 is 13.

GCF(52234,52247) = 13

We will now calculate the prime factors of 52234 and 52247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52234 and 52247.

How to find the GCF of 52234 and 52247?

We will first find the prime factorization of 52234 and 52247. After we will calculate the factors of 52234 and 52247 and find the biggest common factor number .

Step-1: Prime Factorization of 52234

Prime factors of 52234 are 2, 7, 13, 41. Prime factorization of 52234 in exponential form is:

52234 = 2¹ × 7² × 13¹ × 41¹

Step-2: Prime Factorization of 52247

Prime factors of 52247 are 13, 4019. Prime factorization of 52247 in exponential form is:

52247 = 13¹ × 4019¹

Step-3: Factors of 52234

List of positive integer factors of 52234 that divides 52234 without a remainder.

1, 2, 7, 13, 14, 26, 41, 49, 82, 91, 98, 182, 287, 533, 574, 637, 1066, 1274, 2009, 3731, 4018, 7462, 26117

Step-4: Factors of 52247

List of positive integer factors of 52247 that divides 52234 without a remainder.

1, 13, 4019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52234 and 52247. The biggest common factor number is the GCF number.
So the greatest common factor 52234 and 52247 is 13.

Also check out the Least Common Multiple of 52234 and 52247