What is the Greatest Common Factor of 41608 and 41626?

Greatest common factor (GCF) of 41608 and 41626 is 2.

GCF(41608,41626) = 2

We will now calculate the prime factors of 41608 and 41626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41608 and 41626.

How to find the GCF of 41608 and 41626?

We will first find the prime factorization of 41608 and 41626. After we will calculate the factors of 41608 and 41626 and find the biggest common factor number .

Step-1: Prime Factorization of 41608

Prime factors of 41608 are 2, 7, 743. Prime factorization of 41608 in exponential form is:

41608 = 2³ × 7¹ × 743¹

Step-2: Prime Factorization of 41626

Prime factors of 41626 are 2, 13, 1601. Prime factorization of 41626 in exponential form is:

41626 = 2¹ × 13¹ × 1601¹

Step-3: Factors of 41608

List of positive integer factors of 41608 that divides 41608 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 743, 1486, 2972, 5201, 5944, 10402, 20804

Step-4: Factors of 41626

List of positive integer factors of 41626 that divides 41608 without a remainder.

1, 2, 13, 26, 1601, 3202, 20813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41608 and 41626. The biggest common factor number is the GCF number.
So the greatest common factor 41608 and 41626 is 2.

Also check out the Least Common Multiple of 41608 and 41626