What is the Greatest Common Factor of 69441 and 69447?

Greatest common factor (GCF) of 69441 and 69447 is 3.

GCF(69441,69447) = 3

We will now calculate the prime factors of 69441 and 69447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69441 and 69447.

How to find the GCF of 69441 and 69447?

We will first find the prime factorization of 69441 and 69447. After we will calculate the factors of 69441 and 69447 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 69447

Prime factors of 69447 are 3, 7, 3307. Prime factorization of 69447 in exponential form is:

69447 = 3¹ × 7¹ × 3307¹

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 69447

List of positive integer factors of 69447 that divides 69441 without a remainder.

1, 3, 7, 21, 3307, 9921, 23149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69441 and 69447. The biggest common factor number is the GCF number.
So the greatest common factor 69441 and 69447 is 3.

Also check out the Least Common Multiple of 69441 and 69447