What is the Greatest Common Factor of 65365 and 65378?

Greatest common factor (GCF) of 65365 and 65378 is 1.

GCF(65365,65378) = 1

We will now calculate the prime factors of 65365 and 65378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65365 and 65378.

How to find the GCF of 65365 and 65378?

We will first find the prime factorization of 65365 and 65378. After we will calculate the factors of 65365 and 65378 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 65378

Prime factors of 65378 are 2, 97, 337. Prime factorization of 65378 in exponential form is:

65378 = 2¹ × 97¹ × 337¹

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 65378

List of positive integer factors of 65378 that divides 65365 without a remainder.

1, 2, 97, 194, 337, 674, 32689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65365 and 65378. The biggest common factor number is the GCF number.
So the greatest common factor 65365 and 65378 is 1.

Also check out the Least Common Multiple of 65365 and 65378