What is the Greatest Common Factor of 40674 and 40692?

Greatest common factor (GCF) of 40674 and 40692 is 6.

GCF(40674,40692) = 6

We will now calculate the prime factors of 40674 and 40692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40674 and 40692.

How to find the GCF of 40674 and 40692?

We will first find the prime factorization of 40674 and 40692. After we will calculate the factors of 40674 and 40692 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 40692

Prime factors of 40692 are 2, 3, 3391. Prime factorization of 40692 in exponential form is:

40692 = 2² × 3¹ × 3391¹

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 40692

List of positive integer factors of 40692 that divides 40674 without a remainder.

1, 2, 3, 4, 6, 12, 3391, 6782, 10173, 13564, 20346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40674 and 40692. The biggest common factor number is the GCF number.
So the greatest common factor 40674 and 40692 is 6.

Also check out the Least Common Multiple of 40674 and 40692