What is the Greatest Common Factor of 79254 and 79269?

Greatest common factor (GCF) of 79254 and 79269 is 3.

GCF(79254,79269) = 3

We will now calculate the prime factors of 79254 and 79269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79254 and 79269.

How to find the GCF of 79254 and 79269?

We will first find the prime factorization of 79254 and 79269. After we will calculate the factors of 79254 and 79269 and find the biggest common factor number .

Step-1: Prime Factorization of 79254

Prime factors of 79254 are 2, 3, 7, 17, 37. Prime factorization of 79254 in exponential form is:

79254 = 2¹ × 3² × 7¹ × 17¹ × 37¹

Step-2: Prime Factorization of 79269

Prime factors of 79269 are 3, 26423. Prime factorization of 79269 in exponential form is:

79269 = 3¹ × 26423¹

Step-3: Factors of 79254

List of positive integer factors of 79254 that divides 79254 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 37, 42, 51, 63, 74, 102, 111, 119, 126, 153, 222, 238, 259, 306, 333, 357, 518, 629, 666, 714, 777, 1071, 1258, 1554, 1887, 2142, 2331, 3774, 4403, 4662, 5661, 8806, 11322, 13209, 26418, 39627

Step-4: Factors of 79269

List of positive integer factors of 79269 that divides 79254 without a remainder.

1, 3, 26423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79254 and 79269. The biggest common factor number is the GCF number.
So the greatest common factor 79254 and 79269 is 3.

Also check out the Least Common Multiple of 79254 and 79269