What is the Greatest Common Factor of 69249 and 69256?

Greatest common factor (GCF) of 69249 and 69256 is 1.

GCF(69249,69256) = 1

We will now calculate the prime factors of 69249 and 69256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69249 and 69256.

How to find the GCF of 69249 and 69256?

We will first find the prime factorization of 69249 and 69256. After we will calculate the factors of 69249 and 69256 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 69256

Prime factors of 69256 are 2, 11, 787. Prime factorization of 69256 in exponential form is:

69256 = 2³ × 11¹ × 787¹

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 69256

List of positive integer factors of 69256 that divides 69249 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 787, 1574, 3148, 6296, 8657, 17314, 34628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69249 and 69256. The biggest common factor number is the GCF number.
So the greatest common factor 69249 and 69256 is 1.

Also check out the Least Common Multiple of 69249 and 69256