What is the Greatest Common Factor of 65322 and 65341?

Greatest common factor (GCF) of 65322 and 65341 is 19.

GCF(65322,65341) = 19

We will now calculate the prime factors of 65322 and 65341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65322 and 65341.

How to find the GCF of 65322 and 65341?

We will first find the prime factorization of 65322 and 65341. After we will calculate the factors of 65322 and 65341 and find the biggest common factor number .

Step-1: Prime Factorization of 65322

Prime factors of 65322 are 2, 3, 19, 191. Prime factorization of 65322 in exponential form is:

65322 = 2¹ × 3² × 19¹ × 191¹

Step-2: Prime Factorization of 65341

Prime factors of 65341 are 19, 181. Prime factorization of 65341 in exponential form is:

65341 = 19² × 181¹

Step-3: Factors of 65322

List of positive integer factors of 65322 that divides 65322 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 191, 342, 382, 573, 1146, 1719, 3438, 3629, 7258, 10887, 21774, 32661

Step-4: Factors of 65341

List of positive integer factors of 65341 that divides 65322 without a remainder.

1, 19, 181, 361, 3439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65322 and 65341. The biggest common factor number is the GCF number.
So the greatest common factor 65322 and 65341 is 19.

Also check out the Least Common Multiple of 65322 and 65341