What is the Greatest Common Factor of 65365 and 65377?

Greatest common factor (GCF) of 65365 and 65377 is 1.

GCF(65365,65377) = 1

We will now calculate the prime factors of 65365 and 65377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65365 and 65377.

How to find the GCF of 65365 and 65377?

We will first find the prime factorization of 65365 and 65377. After we will calculate the factors of 65365 and 65377 and find the biggest common factor number .

Step-1: Prime Factorization of 65365

Prime factors of 65365 are 5, 17, 769. Prime factorization of 65365 in exponential form is:

65365 = 5¹ × 17¹ × 769¹

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 65365

List of positive integer factors of 65365 that divides 65365 without a remainder.

1, 5, 17, 85, 769, 3845, 13073

Step-4: Factors of 65377

List of positive integer factors of 65377 that divides 65365 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65365 and 65377. The biggest common factor number is the GCF number.
So the greatest common factor 65365 and 65377 is 1.

Also check out the Least Common Multiple of 65365 and 65377