What is the Greatest Common Factor of 69249 and 69259?

Greatest common factor (GCF) of 69249 and 69259 is 1.

GCF(69249,69259) = 1

We will now calculate the prime factors of 69249 and 69259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69249 and 69259.

How to find the GCF of 69249 and 69259?

We will first find the prime factorization of 69249 and 69259. After we will calculate the factors of 69249 and 69259 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 69259

Prime factors of 69259 are 69259. Prime factorization of 69259 in exponential form is:

69259 = 69259¹

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 69259

List of positive integer factors of 69259 that divides 69249 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69249 and 69259. The biggest common factor number is the GCF number.
So the greatest common factor 69249 and 69259 is 1.

Also check out the Least Common Multiple of 69249 and 69259