What is the Greatest Common Factor of 92961 and 92973?

Greatest common factor (GCF) of 92961 and 92973 is 3.

GCF(92961,92973) = 3

We will now calculate the prime factors of 92961 and 92973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92961 and 92973.

How to find the GCF of 92961 and 92973?

We will first find the prime factorization of 92961 and 92973. After we will calculate the factors of 92961 and 92973 and find the biggest common factor number .

Step-1: Prime Factorization of 92961

Prime factors of 92961 are 3, 11, 313. Prime factorization of 92961 in exponential form is:

92961 = 3³ × 11¹ × 313¹

Step-2: Prime Factorization of 92973

Prime factors of 92973 are 3, 17, 1823. Prime factorization of 92973 in exponential form is:

92973 = 3¹ × 17¹ × 1823¹

Step-3: Factors of 92961

List of positive integer factors of 92961 that divides 92961 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297, 313, 939, 2817, 3443, 8451, 10329, 30987

Step-4: Factors of 92973

List of positive integer factors of 92973 that divides 92961 without a remainder.

1, 3, 17, 51, 1823, 5469, 30991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92961 and 92973. The biggest common factor number is the GCF number.
So the greatest common factor 92961 and 92973 is 3.

Also check out the Least Common Multiple of 92961 and 92973