What is the Greatest Common Factor of 65369 and 65377?

Greatest common factor (GCF) of 65369 and 65377 is 1.

GCF(65369,65377) = 1

We will now calculate the prime factors of 65369 and 65377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65369 and 65377.

How to find the GCF of 65369 and 65377?

We will first find the prime factorization of 65369 and 65377. After we will calculate the factors of 65369 and 65377 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 65377

Prime factors of 65377 are 13, 47, 107. Prime factorization of 65377 in exponential form is:

65377 = 13¹ × 47¹ × 107¹

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 65377

List of positive integer factors of 65377 that divides 65369 without a remainder.

1, 13, 47, 107, 611, 1391, 5029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65369 and 65377. The biggest common factor number is the GCF number.
So the greatest common factor 65369 and 65377 is 1.

Also check out the Least Common Multiple of 65369 and 65377