What is the Greatest Common Factor of 69229 and 69237?

Greatest common factor (GCF) of 69229 and 69237 is 1.

GCF(69229,69237) = 1

We will now calculate the prime factors of 69229 and 69237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69229 and 69237.

How to find the GCF of 69229 and 69237?

We will first find the prime factorization of 69229 and 69237. After we will calculate the factors of 69229 and 69237 and find the biggest common factor number .

Step-1: Prime Factorization of 69229

Prime factors of 69229 are 107, 647. Prime factorization of 69229 in exponential form is:

69229 = 107¹ × 647¹

Step-2: 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-3: Factors of 69229

List of positive integer factors of 69229 that divides 69229 without a remainder.

1, 107, 647

Step-4: Factors of 69237

List of positive integer factors of 69237 that divides 69229 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69229 and 69237. The biggest common factor number is the GCF number.
So the greatest common factor 69229 and 69237 is 1.

Also check out the Least Common Multiple of 69229 and 69237