What is the Greatest Common Factor of 41522 and 41536?

Greatest common factor (GCF) of 41522 and 41536 is 2.

GCF(41522,41536) = 2

We will now calculate the prime factors of 41522 and 41536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41522 and 41536.

How to find the GCF of 41522 and 41536?

We will first find the prime factorization of 41522 and 41536. After we will calculate the factors of 41522 and 41536 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 41536

Prime factors of 41536 are 2, 11, 59. Prime factorization of 41536 in exponential form is:

41536 = 2⁶ × 11¹ × 59¹

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 41536

List of positive integer factors of 41536 that divides 41522 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 59, 64, 88, 118, 176, 236, 352, 472, 649, 704, 944, 1298, 1888, 2596, 3776, 5192, 10384, 20768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41522 and 41536. The biggest common factor number is the GCF number.
So the greatest common factor 41522 and 41536 is 2.

Also check out the Least Common Multiple of 41522 and 41536