What is the Greatest Common Factor of 79254 and 79261?

Greatest common factor (GCF) of 79254 and 79261 is 7.

GCF(79254,79261) = 7

We will now calculate the prime factors of 79254 and 79261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79254 and 79261.

How to find the GCF of 79254 and 79261?

We will first find the prime factorization of 79254 and 79261. After we will calculate the factors of 79254 and 79261 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 79261

Prime factors of 79261 are 7, 13, 67. Prime factorization of 79261 in exponential form is:

79261 = 7¹ × 13² × 67¹

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 79261

List of positive integer factors of 79261 that divides 79254 without a remainder.

1, 7, 13, 67, 91, 169, 469, 871, 1183, 6097, 11323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79254 and 79261. The biggest common factor number is the GCF number.
So the greatest common factor 79254 and 79261 is 7.

Also check out the Least Common Multiple of 79254 and 79261