What is the Greatest Common Factor of 63237 and 63249?

Greatest common factor (GCF) of 63237 and 63249 is 3.

GCF(63237,63249) = 3

We will now calculate the prime factors of 63237 and 63249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63237 and 63249.

How to find the GCF of 63237 and 63249?

We will first find the prime factorization of 63237 and 63249. After we will calculate the factors of 63237 and 63249 and find the biggest common factor number .

Step-1: Prime Factorization of 63237

Prime factors of 63237 are 3, 107, 197. Prime factorization of 63237 in exponential form is:

63237 = 3¹ × 107¹ × 197¹

Step-2: Prime Factorization of 63249

Prime factors of 63249 are 3, 29, 727. Prime factorization of 63249 in exponential form is:

63249 = 3¹ × 29¹ × 727¹

Step-3: Factors of 63237

List of positive integer factors of 63237 that divides 63237 without a remainder.

1, 3, 107, 197, 321, 591, 21079

Step-4: Factors of 63249

List of positive integer factors of 63249 that divides 63237 without a remainder.

1, 3, 29, 87, 727, 2181, 21083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63237 and 63249. The biggest common factor number is the GCF number.
So the greatest common factor 63237 and 63249 is 3.

Also check out the Least Common Multiple of 63237 and 63249