What is the Greatest Common Factor of 68961 and 68967?

Greatest common factor (GCF) of 68961 and 68967 is 3.

GCF(68961,68967) = 3

We will now calculate the prime factors of 68961 and 68967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68961 and 68967.

How to find the GCF of 68961 and 68967?

We will first find the prime factorization of 68961 and 68967. After we will calculate the factors of 68961 and 68967 and find the biggest common factor number .

Step-1: Prime Factorization of 68961

Prime factors of 68961 are 3, 127, 181. Prime factorization of 68961 in exponential form is:

68961 = 3¹ × 127¹ × 181¹

Step-2: Prime Factorization of 68967

Prime factors of 68967 are 3, 79, 97. Prime factorization of 68967 in exponential form is:

68967 = 3² × 79¹ × 97¹

Step-3: Factors of 68961

List of positive integer factors of 68961 that divides 68961 without a remainder.

1, 3, 127, 181, 381, 543, 22987

Step-4: Factors of 68967

List of positive integer factors of 68967 that divides 68961 without a remainder.

1, 3, 9, 79, 97, 237, 291, 711, 873, 7663, 22989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68961 and 68967. The biggest common factor number is the GCF number.
So the greatest common factor 68961 and 68967 is 3.

Also check out the Least Common Multiple of 68961 and 68967