What is the Greatest Common Factor of 65367 and 65379?

Greatest common factor (GCF) of 65367 and 65379 is 3.

GCF(65367,65379) = 3

We will now calculate the prime factors of 65367 and 65379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65367 and 65379.

How to find the GCF of 65367 and 65379?

We will first find the prime factorization of 65367 and 65379. After we will calculate the factors of 65367 and 65379 and find the biggest common factor number .

Step-1: Prime Factorization of 65367

Prime factors of 65367 are 3, 269. Prime factorization of 65367 in exponential form is:

65367 = 3⁵ × 269¹

Step-2: Prime Factorization of 65379

Prime factors of 65379 are 3, 19, 31, 37. Prime factorization of 65379 in exponential form is:

65379 = 3¹ × 19¹ × 31¹ × 37¹

Step-3: Factors of 65367

List of positive integer factors of 65367 that divides 65367 without a remainder.

1, 3, 9, 27, 81, 243, 269, 807, 2421, 7263, 21789

Step-4: Factors of 65379

List of positive integer factors of 65379 that divides 65367 without a remainder.

1, 3, 19, 31, 37, 57, 93, 111, 589, 703, 1147, 1767, 2109, 3441, 21793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65367 and 65379. The biggest common factor number is the GCF number.
So the greatest common factor 65367 and 65379 is 3.

Also check out the Least Common Multiple of 65367 and 65379