What is the Greatest Common Factor of 79254 and 79260?

Greatest common factor (GCF) of 79254 and 79260 is 6.

GCF(79254,79260) = 6

We will now calculate the prime factors of 79254 and 79260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79254 and 79260.

How to find the GCF of 79254 and 79260?

We will first find the prime factorization of 79254 and 79260. After we will calculate the factors of 79254 and 79260 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 79260

Prime factors of 79260 are 2, 3, 5, 1321. Prime factorization of 79260 in exponential form is:

79260 = 2² × 3¹ × 5¹ × 1321¹

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 79260

List of positive integer factors of 79260 that divides 79254 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1321, 2642, 3963, 5284, 6605, 7926, 13210, 15852, 19815, 26420, 39630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79254 and 79260. The biggest common factor number is the GCF number.
So the greatest common factor 79254 and 79260 is 6.

Also check out the Least Common Multiple of 79254 and 79260