What is the Greatest Common Factor of 76284 and 76302?

Greatest common factor (GCF) of 76284 and 76302 is 18.

GCF(76284,76302) = 18

We will now calculate the prime factors of 76284 and 76302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76284 and 76302.

How to find the GCF of 76284 and 76302?

We will first find the prime factorization of 76284 and 76302. After we will calculate the factors of 76284 and 76302 and find the biggest common factor number .

Step-1: Prime Factorization of 76284

Prime factors of 76284 are 2, 3, 13, 163. Prime factorization of 76284 in exponential form is:

76284 = 2² × 3² × 13¹ × 163¹

Step-2: Prime Factorization of 76302

Prime factors of 76302 are 2, 3, 157. Prime factorization of 76302 in exponential form is:

76302 = 2¹ × 3⁵ × 157¹

Step-3: Factors of 76284

List of positive integer factors of 76284 that divides 76284 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 163, 234, 326, 468, 489, 652, 978, 1467, 1956, 2119, 2934, 4238, 5868, 6357, 8476, 12714, 19071, 25428, 38142

Step-4: Factors of 76302

List of positive integer factors of 76302 that divides 76284 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 157, 162, 243, 314, 471, 486, 942, 1413, 2826, 4239, 8478, 12717, 25434, 38151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76284 and 76302. The biggest common factor number is the GCF number.
So the greatest common factor 76284 and 76302 is 18.

Also check out the Least Common Multiple of 76284 and 76302