What is the Greatest Common Factor of 41022 and 41026?

Greatest common factor (GCF) of 41022 and 41026 is 2.

GCF(41022,41026) = 2

We will now calculate the prime factors of 41022 and 41026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41022 and 41026.

How to find the GCF of 41022 and 41026?

We will first find the prime factorization of 41022 and 41026. After we will calculate the factors of 41022 and 41026 and find the biggest common factor number .

Step-1: Prime Factorization of 41022

Prime factors of 41022 are 2, 3, 43, 53. Prime factorization of 41022 in exponential form is:

41022 = 2¹ × 3² × 43¹ × 53¹

Step-2: Prime Factorization of 41026

Prime factors of 41026 are 2, 73, 281. Prime factorization of 41026 in exponential form is:

41026 = 2¹ × 73¹ × 281¹

Step-3: Factors of 41022

List of positive integer factors of 41022 that divides 41022 without a remainder.

1, 2, 3, 6, 9, 18, 43, 53, 86, 106, 129, 159, 258, 318, 387, 477, 774, 954, 2279, 4558, 6837, 13674, 20511

Step-4: Factors of 41026

List of positive integer factors of 41026 that divides 41022 without a remainder.

1, 2, 73, 146, 281, 562, 20513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41022 and 41026. The biggest common factor number is the GCF number.
So the greatest common factor 41022 and 41026 is 2.

Also check out the Least Common Multiple of 41022 and 41026