What is the Greatest Common Factor of 40692 and 40707?

Greatest common factor (GCF) of 40692 and 40707 is 3.

GCF(40692,40707) = 3

We will now calculate the prime factors of 40692 and 40707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40692 and 40707.

How to find the GCF of 40692 and 40707?

We will first find the prime factorization of 40692 and 40707. After we will calculate the factors of 40692 and 40707 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40707

Prime factors of 40707 are 3, 4523. Prime factorization of 40707 in exponential form is:

40707 = 3² × 4523¹

Step-3: Factors of 40692

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

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

Step-4: Factors of 40707

List of positive integer factors of 40707 that divides 40692 without a remainder.

1, 3, 9, 4523, 13569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40692 and 40707. The biggest common factor number is the GCF number.
So the greatest common factor 40692 and 40707 is 3.

Also check out the Least Common Multiple of 40692 and 40707