What is the Greatest Common Factor of 40974 and 40993?

Greatest common factor (GCF) of 40974 and 40993 is 1.

GCF(40974,40993) = 1

We will now calculate the prime factors of 40974 and 40993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40974 and 40993.

How to find the GCF of 40974 and 40993?

We will first find the prime factorization of 40974 and 40993. After we will calculate the factors of 40974 and 40993 and find the biggest common factor number .

Step-1: Prime Factorization of 40974

Prime factors of 40974 are 2, 3, 6829. Prime factorization of 40974 in exponential form is:

40974 = 2¹ × 3¹ × 6829¹

Step-2: Prime Factorization of 40993

Prime factors of 40993 are 40993. Prime factorization of 40993 in exponential form is:

40993 = 40993¹

Step-3: Factors of 40974

List of positive integer factors of 40974 that divides 40974 without a remainder.

1, 2, 3, 6, 6829, 13658, 20487

Step-4: Factors of 40993

List of positive integer factors of 40993 that divides 40974 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40974 and 40993. The biggest common factor number is the GCF number.
So the greatest common factor 40974 and 40993 is 1.

Also check out the Least Common Multiple of 40974 and 40993