What is the Greatest Common Factor of 67959 and 67971?

Greatest common factor (GCF) of 67959 and 67971 is 3.

GCF(67959,67971) = 3

We will now calculate the prime factors of 67959 and 67971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67959 and 67971.

How to find the GCF of 67959 and 67971?

We will first find the prime factorization of 67959 and 67971. After we will calculate the factors of 67959 and 67971 and find the biggest common factor number .

Step-1: Prime Factorization of 67959

Prime factors of 67959 are 3, 839. Prime factorization of 67959 in exponential form is:

67959 = 3⁴ × 839¹

Step-2: Prime Factorization of 67971

Prime factors of 67971 are 3, 139, 163. Prime factorization of 67971 in exponential form is:

67971 = 3¹ × 139¹ × 163¹

Step-3: Factors of 67959

List of positive integer factors of 67959 that divides 67959 without a remainder.

1, 3, 9, 27, 81, 839, 2517, 7551, 22653

Step-4: Factors of 67971

List of positive integer factors of 67971 that divides 67959 without a remainder.

1, 3, 139, 163, 417, 489, 22657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67959 and 67971. The biggest common factor number is the GCF number.
So the greatest common factor 67959 and 67971 is 3.

Also check out the Least Common Multiple of 67959 and 67971