What is the Greatest Common Factor of 41973 and 41979?

Greatest common factor (GCF) of 41973 and 41979 is 3.

GCF(41973,41979) = 3

We will now calculate the prime factors of 41973 and 41979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41973 and 41979.

How to find the GCF of 41973 and 41979?

We will first find the prime factorization of 41973 and 41979. After we will calculate the factors of 41973 and 41979 and find the biggest common factor number .

Step-1: Prime Factorization of 41973

Prime factors of 41973 are 3, 17, 823. Prime factorization of 41973 in exponential form is:

41973 = 3¹ × 17¹ × 823¹

Step-2: Prime Factorization of 41979

Prime factors of 41979 are 3, 7, 1999. Prime factorization of 41979 in exponential form is:

41979 = 3¹ × 7¹ × 1999¹

Step-3: Factors of 41973

List of positive integer factors of 41973 that divides 41973 without a remainder.

1, 3, 17, 51, 823, 2469, 13991

Step-4: Factors of 41979

List of positive integer factors of 41979 that divides 41973 without a remainder.

1, 3, 7, 21, 1999, 5997, 13993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41973 and 41979. The biggest common factor number is the GCF number.
So the greatest common factor 41973 and 41979 is 3.

Also check out the Least Common Multiple of 41973 and 41979