What is the Greatest Common Factor of 41522 and 41535?

Greatest common factor (GCF) of 41522 and 41535 is 13.

GCF(41522,41535) = 13

We will now calculate the prime factors of 41522 and 41535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41522 and 41535.

How to find the GCF of 41522 and 41535?

We will first find the prime factorization of 41522 and 41535. After we will calculate the factors of 41522 and 41535 and find the biggest common factor number .

Step-1: Prime Factorization of 41522

Prime factors of 41522 are 2, 13, 1597. Prime factorization of 41522 in exponential form is:

41522 = 2¹ × 13¹ × 1597¹

Step-2: Prime Factorization of 41535

Prime factors of 41535 are 3, 5, 13, 71. Prime factorization of 41535 in exponential form is:

41535 = 3² × 5¹ × 13¹ × 71¹

Step-3: Factors of 41522

List of positive integer factors of 41522 that divides 41522 without a remainder.

1, 2, 13, 26, 1597, 3194, 20761

Step-4: Factors of 41535

List of positive integer factors of 41535 that divides 41522 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 71, 117, 195, 213, 355, 585, 639, 923, 1065, 2769, 3195, 4615, 8307, 13845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41522 and 41535. The biggest common factor number is the GCF number.
So the greatest common factor 41522 and 41535 is 13.

Also check out the Least Common Multiple of 41522 and 41535