What is the Greatest Common Factor of 40674 and 40694?

Greatest common factor (GCF) of 40674 and 40694 is 2.

GCF(40674,40694) = 2

We will now calculate the prime factors of 40674 and 40694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40674 and 40694.

How to find the GCF of 40674 and 40694?

We will first find the prime factorization of 40674 and 40694. After we will calculate the factors of 40674 and 40694 and find the biggest common factor number .

Step-1: Prime Factorization of 40674

Prime factors of 40674 are 2, 3, 6779. Prime factorization of 40674 in exponential form is:

40674 = 2¹ × 3¹ × 6779¹

Step-2: Prime Factorization of 40694

Prime factors of 40694 are 2, 20347. Prime factorization of 40694 in exponential form is:

40694 = 2¹ × 20347¹

Step-3: Factors of 40674

List of positive integer factors of 40674 that divides 40674 without a remainder.

1, 2, 3, 6, 6779, 13558, 20337

Step-4: Factors of 40694

List of positive integer factors of 40694 that divides 40674 without a remainder.

1, 2, 20347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40674 and 40694. The biggest common factor number is the GCF number.
So the greatest common factor 40674 and 40694 is 2.

Also check out the Least Common Multiple of 40674 and 40694