What is the Greatest Common Factor of 76269 and 76284?

Greatest common factor (GCF) of 76269 and 76284 is 3.

GCF(76269,76284) = 3

We will now calculate the prime factors of 76269 and 76284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76269 and 76284.

How to find the GCF of 76269 and 76284?

We will first find the prime factorization of 76269 and 76284. After we will calculate the factors of 76269 and 76284 and find the biggest common factor number .

Step-1: Prime Factorization of 76269

Prime factors of 76269 are 3, 25423. Prime factorization of 76269 in exponential form is:

76269 = 3¹ × 25423¹

Step-2: 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-3: Factors of 76269

List of positive integer factors of 76269 that divides 76269 without a remainder.

1, 3, 25423

Step-4: Factors of 76284

List of positive integer factors of 76284 that divides 76269 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76269 and 76284. The biggest common factor number is the GCF number.
So the greatest common factor 76269 and 76284 is 3.

Also check out the Least Common Multiple of 76269 and 76284