What is the Greatest Common Factor of 41022 and 41035?

Greatest common factor (GCF) of 41022 and 41035 is 1.

GCF(41022,41035) = 1

We will now calculate the prime factors of 41022 and 41035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41022 and 41035.

How to find the GCF of 41022 and 41035?

We will first find the prime factorization of 41022 and 41035. After we will calculate the factors of 41022 and 41035 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 41035

Prime factors of 41035 are 5, 29, 283. Prime factorization of 41035 in exponential form is:

41035 = 5¹ × 29¹ × 283¹

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 41035

List of positive integer factors of 41035 that divides 41022 without a remainder.

1, 5, 29, 145, 283, 1415, 8207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41022 and 41035. The biggest common factor number is the GCF number.
So the greatest common factor 41022 and 41035 is 1.

Also check out the Least Common Multiple of 41022 and 41035