What is the Greatest Common Factor of 65349 and 65364?

Greatest common factor (GCF) of 65349 and 65364 is 3.

GCF(65349,65364) = 3

We will now calculate the prime factors of 65349 and 65364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65349 and 65364.

How to find the GCF of 65349 and 65364?

We will first find the prime factorization of 65349 and 65364. After we will calculate the factors of 65349 and 65364 and find the biggest common factor number .

Step-1: Prime Factorization of 65349

Prime factors of 65349 are 3, 53, 137. Prime factorization of 65349 in exponential form is:

65349 = 3² × 53¹ × 137¹

Step-2: Prime Factorization of 65364

Prime factors of 65364 are 2, 3, 13, 419. Prime factorization of 65364 in exponential form is:

65364 = 2² × 3¹ × 13¹ × 419¹

Step-3: Factors of 65349

List of positive integer factors of 65349 that divides 65349 without a remainder.

1, 3, 9, 53, 137, 159, 411, 477, 1233, 7261, 21783

Step-4: Factors of 65364

List of positive integer factors of 65364 that divides 65349 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 419, 838, 1257, 1676, 2514, 5028, 5447, 10894, 16341, 21788, 32682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65349 and 65364. The biggest common factor number is the GCF number.
So the greatest common factor 65349 and 65364 is 3.

Also check out the Least Common Multiple of 65349 and 65364