What is the Greatest Common Factor of 79254 and 79270?

Greatest common factor (GCF) of 79254 and 79270 is 2.

GCF(79254,79270) = 2

We will now calculate the prime factors of 79254 and 79270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79254 and 79270.

How to find the GCF of 79254 and 79270?

We will first find the prime factorization of 79254 and 79270. After we will calculate the factors of 79254 and 79270 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 79270

Prime factors of 79270 are 2, 5, 7927. Prime factorization of 79270 in exponential form is:

79270 = 2¹ × 5¹ × 7927¹

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 79270

List of positive integer factors of 79270 that divides 79254 without a remainder.

1, 2, 5, 10, 7927, 15854, 39635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79254 and 79270. The biggest common factor number is the GCF number.
So the greatest common factor 79254 and 79270 is 2.

Also check out the Least Common Multiple of 79254 and 79270