What is the Greatest Common Factor of 65268 and 65283?

Greatest common factor (GCF) of 65268 and 65283 is 3.

GCF(65268,65283) = 3

We will now calculate the prime factors of 65268 and 65283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65268 and 65283.

How to find the GCF of 65268 and 65283?

We will first find the prime factorization of 65268 and 65283. After we will calculate the factors of 65268 and 65283 and find the biggest common factor number .

Step-1: Prime Factorization of 65268

Prime factors of 65268 are 2, 3, 7, 37. Prime factorization of 65268 in exponential form is:

65268 = 2² × 3² × 7² × 37¹

Step-2: Prime Factorization of 65283

Prime factors of 65283 are 3, 47, 463. Prime factorization of 65283 in exponential form is:

65283 = 3¹ × 47¹ × 463¹

Step-3: Factors of 65268

List of positive integer factors of 65268 that divides 65268 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 37, 42, 49, 63, 74, 84, 98, 111, 126, 147, 148, 196, 222, 252, 259, 294, 333, 441, 444, 518, 588, 666, 777, 882, 1036, 1332, 1554, 1764, 1813, 2331, 3108, 3626, 4662, 5439, 7252, 9324, 10878, 16317, 21756, 32634

Step-4: Factors of 65283

List of positive integer factors of 65283 that divides 65268 without a remainder.

1, 3, 47, 141, 463, 1389, 21761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65268 and 65283. The biggest common factor number is the GCF number.
So the greatest common factor 65268 and 65283 is 3.

Also check out the Least Common Multiple of 65268 and 65283