What is the Greatest Common Factor of 65369 and 65382?

Greatest common factor (GCF) of 65369 and 65382 is 1.

GCF(65369,65382) = 1

We will now calculate the prime factors of 65369 and 65382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65369 and 65382.

How to find the GCF of 65369 and 65382?

We will first find the prime factorization of 65369 and 65382. After we will calculate the factors of 65369 and 65382 and find the biggest common factor number .

Step-1: Prime Factorization of 65369

Prime factors of 65369 are 131, 499. Prime factorization of 65369 in exponential form is:

65369 = 131¹ × 499¹

Step-2: Prime Factorization of 65382

Prime factors of 65382 are 2, 3, 17, 641. Prime factorization of 65382 in exponential form is:

65382 = 2¹ × 3¹ × 17¹ × 641¹

Step-3: Factors of 65369

List of positive integer factors of 65369 that divides 65369 without a remainder.

1, 131, 499

Step-4: Factors of 65382

List of positive integer factors of 65382 that divides 65369 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 641, 1282, 1923, 3846, 10897, 21794, 32691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65369 and 65382. The biggest common factor number is the GCF number.
So the greatest common factor 65369 and 65382 is 1.

Also check out the Least Common Multiple of 65369 and 65382