What is the Greatest Common Factor of 69237 and 69249?

Greatest common factor (GCF) of 69237 and 69249 is 3.

GCF(69237,69249) = 3

We will now calculate the prime factors of 69237 and 69249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69237 and 69249.

How to find the GCF of 69237 and 69249?

We will first find the prime factorization of 69237 and 69249. After we will calculate the factors of 69237 and 69249 and find the biggest common factor number .

Step-1: Prime Factorization of 69237

Prime factors of 69237 are 3, 7, 157. Prime factorization of 69237 in exponential form is:

69237 = 3² × 7² × 157¹

Step-2: Prime Factorization of 69249

Prime factors of 69249 are 3, 41, 563. Prime factorization of 69249 in exponential form is:

69249 = 3¹ × 41¹ × 563¹

Step-3: Factors of 69237

List of positive integer factors of 69237 that divides 69237 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 157, 441, 471, 1099, 1413, 3297, 7693, 9891, 23079

Step-4: Factors of 69249

List of positive integer factors of 69249 that divides 69237 without a remainder.

1, 3, 41, 123, 563, 1689, 23083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69237 and 69249. The biggest common factor number is the GCF number.
So the greatest common factor 69237 and 69249 is 3.

Also check out the Least Common Multiple of 69237 and 69249