What is the Greatest Common Factor of 76284 and 76297?

Greatest common factor (GCF) of 76284 and 76297 is 13.

GCF(76284,76297) = 13

We will now calculate the prime factors of 76284 and 76297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76284 and 76297.

How to find the GCF of 76284 and 76297?

We will first find the prime factorization of 76284 and 76297. After we will calculate the factors of 76284 and 76297 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 76297

Prime factors of 76297 are 13, 5869. Prime factorization of 76297 in exponential form is:

76297 = 13¹ × 5869¹

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 76297

List of positive integer factors of 76297 that divides 76284 without a remainder.

1, 13, 5869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76284 and 76297. The biggest common factor number is the GCF number.
So the greatest common factor 76284 and 76297 is 13.

Also check out the Least Common Multiple of 76284 and 76297