What is the Greatest Common Factor of 40623 and 40634?

Greatest common factor (GCF) of 40623 and 40634 is 11.

GCF(40623,40634) = 11

We will now calculate the prime factors of 40623 and 40634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40623 and 40634.

How to find the GCF of 40623 and 40634?

We will first find the prime factorization of 40623 and 40634. After we will calculate the factors of 40623 and 40634 and find the biggest common factor number .

Step-1: Prime Factorization of 40623

Prime factors of 40623 are 3, 11, 1231. Prime factorization of 40623 in exponential form is:

40623 = 3¹ × 11¹ × 1231¹

Step-2: Prime Factorization of 40634

Prime factors of 40634 are 2, 11, 1847. Prime factorization of 40634 in exponential form is:

40634 = 2¹ × 11¹ × 1847¹

Step-3: Factors of 40623

List of positive integer factors of 40623 that divides 40623 without a remainder.

1, 3, 11, 33, 1231, 3693, 13541

Step-4: Factors of 40634

List of positive integer factors of 40634 that divides 40623 without a remainder.

1, 2, 11, 22, 1847, 3694, 20317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40623 and 40634. The biggest common factor number is the GCF number.
So the greatest common factor 40623 and 40634 is 11.

Also check out the Least Common Multiple of 40623 and 40634