What is the Greatest Common Factor of 76248 and 76254?

Greatest common factor (GCF) of 76248 and 76254 is 6.

GCF(76248,76254) = 6

We will now calculate the prime factors of 76248 and 76254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76248 and 76254.

How to find the GCF of 76248 and 76254?

We will first find the prime factorization of 76248 and 76254. After we will calculate the factors of 76248 and 76254 and find the biggest common factor number .

Step-1: Prime Factorization of 76248

Prime factors of 76248 are 2, 3, 353. Prime factorization of 76248 in exponential form is:

76248 = 2³ × 3³ × 353¹

Step-2: 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-3: Factors of 76248

List of positive integer factors of 76248 that divides 76248 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 353, 706, 1059, 1412, 2118, 2824, 3177, 4236, 6354, 8472, 9531, 12708, 19062, 25416, 38124

Step-4: Factors of 76254

List of positive integer factors of 76254 that divides 76248 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76248 and 76254. The biggest common factor number is the GCF number.
So the greatest common factor 76248 and 76254 is 6.

Also check out the Least Common Multiple of 76248 and 76254