What is the Greatest Common Factor of 66279 and 66291?

Greatest common factor (GCF) of 66279 and 66291 is 3.

GCF(66279,66291) = 3

We will now calculate the prime factors of 66279 and 66291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66279 and 66291.

How to find the GCF of 66279 and 66291?

We will first find the prime factorization of 66279 and 66291. After we will calculate the factors of 66279 and 66291 and find the biggest common factor number .

Step-1: Prime Factorization of 66279

Prime factors of 66279 are 3, 22093. Prime factorization of 66279 in exponential form is:

66279 = 3¹ × 22093¹

Step-2: Prime Factorization of 66291

Prime factors of 66291 are 3, 19, 1163. Prime factorization of 66291 in exponential form is:

66291 = 3¹ × 19¹ × 1163¹

Step-3: Factors of 66279

List of positive integer factors of 66279 that divides 66279 without a remainder.

1, 3, 22093

Step-4: Factors of 66291

List of positive integer factors of 66291 that divides 66279 without a remainder.

1, 3, 19, 57, 1163, 3489, 22097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66279 and 66291. The biggest common factor number is the GCF number.
So the greatest common factor 66279 and 66291 is 3.

Also check out the Least Common Multiple of 66279 and 66291