What is the Greatest Common Factor of 65367 and 65373?

Greatest common factor (GCF) of 65367 and 65373 is 3.

GCF(65367,65373) = 3

We will now calculate the prime factors of 65367 and 65373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65367 and 65373.

How to find the GCF of 65367 and 65373?

We will first find the prime factorization of 65367 and 65373. After we will calculate the factors of 65367 and 65373 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 65373

Prime factors of 65373 are 3, 7, 11, 283. Prime factorization of 65373 in exponential form is:

65373 = 3¹ × 7¹ × 11¹ × 283¹

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 65373

List of positive integer factors of 65373 that divides 65367 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 283, 849, 1981, 3113, 5943, 9339, 21791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65367 and 65373. The biggest common factor number is the GCF number.
So the greatest common factor 65367 and 65373 is 3.

Also check out the Least Common Multiple of 65367 and 65373