What is the Greatest Common Factor of 65254 and 65268?

Greatest common factor (GCF) of 65254 and 65268 is 14.

GCF(65254,65268) = 14

We will now calculate the prime factors of 65254 and 65268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65254 and 65268.

How to find the GCF of 65254 and 65268?

We will first find the prime factorization of 65254 and 65268. After we will calculate the factors of 65254 and 65268 and find the biggest common factor number .

Step-1: Prime Factorization of 65254

Prime factors of 65254 are 2, 7, 59, 79. Prime factorization of 65254 in exponential form is:

65254 = 2¹ × 7¹ × 59¹ × 79¹

Step-2: 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-3: Factors of 65254

List of positive integer factors of 65254 that divides 65254 without a remainder.

1, 2, 7, 14, 59, 79, 118, 158, 413, 553, 826, 1106, 4661, 9322, 32627

Step-4: Factors of 65268

List of positive integer factors of 65268 that divides 65254 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65254 and 65268. The biggest common factor number is the GCF number.
So the greatest common factor 65254 and 65268 is 14.

Also check out the Least Common Multiple of 65254 and 65268