What is the Greatest Common Factor of 76254 and 76268?

Greatest common factor (GCF) of 76254 and 76268 is 2.

GCF(76254,76268) = 2

We will now calculate the prime factors of 76254 and 76268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76254 and 76268.

How to find the GCF of 76254 and 76268?

We will first find the prime factorization of 76254 and 76268. After we will calculate the factors of 76254 and 76268 and find the biggest common factor number .

Step-1: Prime Factorization of 76254

Prime factors of 76254 are 2, 3, 71, 179. Prime factorization of 76254 in exponential form is:

76254 = 2¹ × 3¹ × 71¹ × 179¹

Step-2: Prime Factorization of 76268

Prime factors of 76268 are 2, 23, 829. Prime factorization of 76268 in exponential form is:

76268 = 2² × 23¹ × 829¹

Step-3: Factors of 76254

List of positive integer factors of 76254 that divides 76254 without a remainder.

1, 2, 3, 6, 71, 142, 179, 213, 358, 426, 537, 1074, 12709, 25418, 38127

Step-4: Factors of 76268

List of positive integer factors of 76268 that divides 76254 without a remainder.

1, 2, 4, 23, 46, 92, 829, 1658, 3316, 19067, 38134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76254 and 76268. The biggest common factor number is the GCF number.
So the greatest common factor 76254 and 76268 is 2.

Also check out the Least Common Multiple of 76254 and 76268