What is the Greatest Common Factor of 41612 and 41623?

Greatest common factor (GCF) of 41612 and 41623 is 1.

GCF(41612,41623) = 1

We will now calculate the prime factors of 41612 and 41623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41612 and 41623.

How to find the GCF of 41612 and 41623?

We will first find the prime factorization of 41612 and 41623. After we will calculate the factors of 41612 and 41623 and find the biggest common factor number .

Step-1: Prime Factorization of 41612

Prime factors of 41612 are 2, 101, 103. Prime factorization of 41612 in exponential form is:

41612 = 2² × 101¹ × 103¹

Step-2: Prime Factorization of 41623

Prime factors of 41623 are 107, 389. Prime factorization of 41623 in exponential form is:

41623 = 107¹ × 389¹

Step-3: Factors of 41612

List of positive integer factors of 41612 that divides 41612 without a remainder.

1, 2, 4, 101, 103, 202, 206, 404, 412, 10403, 20806

Step-4: Factors of 41623

List of positive integer factors of 41623 that divides 41612 without a remainder.

1, 107, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41612 and 41623. The biggest common factor number is the GCF number.
So the greatest common factor 41612 and 41623 is 1.

Also check out the Least Common Multiple of 41612 and 41623