What is the Greatest Common Factor of 69441 and 69459?

Greatest common factor (GCF) of 69441 and 69459 is 3.

GCF(69441,69459) = 3

We will now calculate the prime factors of 69441 and 69459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69441 and 69459.

How to find the GCF of 69441 and 69459?

We will first find the prime factorization of 69441 and 69459. After we will calculate the factors of 69441 and 69459 and find the biggest common factor number .

Step-1: Prime Factorization of 69441

Prime factors of 69441 are 3, 79, 293. Prime factorization of 69441 in exponential form is:

69441 = 3¹ × 79¹ × 293¹

Step-2: Prime Factorization of 69459

Prime factors of 69459 are 3, 13, 137. Prime factorization of 69459 in exponential form is:

69459 = 3¹ × 13² × 137¹

Step-3: Factors of 69441

List of positive integer factors of 69441 that divides 69441 without a remainder.

1, 3, 79, 237, 293, 879, 23147

Step-4: Factors of 69459

List of positive integer factors of 69459 that divides 69441 without a remainder.

1, 3, 13, 39, 137, 169, 411, 507, 1781, 5343, 23153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69441 and 69459. The biggest common factor number is the GCF number.
So the greatest common factor 69441 and 69459 is 3.

Also check out the Least Common Multiple of 69441 and 69459