What is the Greatest Common Factor of 79237 and 79254?

Greatest common factor (GCF) of 79237 and 79254 is 17.

GCF(79237,79254) = 17

We will now calculate the prime factors of 79237 and 79254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79237 and 79254.

How to find the GCF of 79237 and 79254?

We will first find the prime factorization of 79237 and 79254. After we will calculate the factors of 79237 and 79254 and find the biggest common factor number .

Step-1: Prime Factorization of 79237

Prime factors of 79237 are 17, 59, 79. Prime factorization of 79237 in exponential form is:

79237 = 17¹ × 59¹ × 79¹

Step-2: 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-3: Factors of 79237

List of positive integer factors of 79237 that divides 79237 without a remainder.

1, 17, 59, 79, 1003, 1343, 4661

Step-4: Factors of 79254

List of positive integer factors of 79254 that divides 79237 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79237 and 79254. The biggest common factor number is the GCF number.
So the greatest common factor 79237 and 79254 is 17.

Also check out the Least Common Multiple of 79237 and 79254