What is the Greatest Common Factor of 65375 and 65382?

Greatest common factor (GCF) of 65375 and 65382 is 1.

GCF(65375,65382) = 1

We will now calculate the prime factors of 65375 and 65382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65375 and 65382.

How to find the GCF of 65375 and 65382?

We will first find the prime factorization of 65375 and 65382. After we will calculate the factors of 65375 and 65382 and find the biggest common factor number .

Step-1: Prime Factorization of 65375

Prime factors of 65375 are 5, 523. Prime factorization of 65375 in exponential form is:

65375 = 5³ × 523¹

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 65375

List of positive integer factors of 65375 that divides 65375 without a remainder.

1, 5, 25, 125, 523, 2615, 13075

Step-4: Factors of 65382

List of positive integer factors of 65382 that divides 65375 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 65375 and 65382. The biggest common factor number is the GCF number.
So the greatest common factor 65375 and 65382 is 1.

Also check out the Least Common Multiple of 65375 and 65382