What is the Greatest Common Factor of 65337 and 65349?

Greatest common factor (GCF) of 65337 and 65349 is 3.

GCF(65337,65349) = 3

We will now calculate the prime factors of 65337 and 65349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65337 and 65349.

How to find the GCF of 65337 and 65349?

We will first find the prime factorization of 65337 and 65349. After we will calculate the factors of 65337 and 65349 and find the biggest common factor number .

Step-1: Prime Factorization of 65337

Prime factors of 65337 are 3, 29, 751. Prime factorization of 65337 in exponential form is:

65337 = 3¹ × 29¹ × 751¹

Step-2: 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-3: Factors of 65337

List of positive integer factors of 65337 that divides 65337 without a remainder.

1, 3, 29, 87, 751, 2253, 21779

Step-4: Factors of 65349

List of positive integer factors of 65349 that divides 65337 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65337 and 65349. The biggest common factor number is the GCF number.
So the greatest common factor 65337 and 65349 is 3.

Also check out the Least Common Multiple of 65337 and 65349