What is the Greatest Common Factor of 68946 and 68961?

Greatest common factor (GCF) of 68946 and 68961 is 3.

GCF(68946,68961) = 3

We will now calculate the prime factors of 68946 and 68961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68946 and 68961.

How to find the GCF of 68946 and 68961?

We will first find the prime factorization of 68946 and 68961. After we will calculate the factors of 68946 and 68961 and find the biggest common factor number .

Step-1: Prime Factorization of 68946

Prime factors of 68946 are 2, 3, 11491. Prime factorization of 68946 in exponential form is:

68946 = 2¹ × 3¹ × 11491¹

Step-2: 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-3: Factors of 68946

List of positive integer factors of 68946 that divides 68946 without a remainder.

1, 2, 3, 6, 11491, 22982, 34473

Step-4: Factors of 68961

List of positive integer factors of 68961 that divides 68946 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68946 and 68961. The biggest common factor number is the GCF number.
So the greatest common factor 68946 and 68961 is 3.

Also check out the Least Common Multiple of 68946 and 68961