What is the Greatest Common Factor of 69249 and 69257?

Greatest common factor (GCF) of 69249 and 69257 is 1.

GCF(69249,69257) = 1

We will now calculate the prime factors of 69249 and 69257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69249 and 69257.

How to find the GCF of 69249 and 69257?

We will first find the prime factorization of 69249 and 69257. After we will calculate the factors of 69249 and 69257 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69257

Prime factors of 69257 are 69257. Prime factorization of 69257 in exponential form is:

69257 = 69257¹

Step-3: Factors of 69249

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

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

Step-4: Factors of 69257

List of positive integer factors of 69257 that divides 69249 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69249 and 69257. The biggest common factor number is the GCF number.
So the greatest common factor 69249 and 69257 is 1.

Also check out the Least Common Multiple of 69249 and 69257