What is the Greatest Common Factor of 41530 and 41536?

Greatest common factor (GCF) of 41530 and 41536 is 2.

GCF(41530,41536) = 2

We will now calculate the prime factors of 41530 and 41536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41530 and 41536.

How to find the GCF of 41530 and 41536?

We will first find the prime factorization of 41530 and 41536. After we will calculate the factors of 41530 and 41536 and find the biggest common factor number .

Step-1: Prime Factorization of 41530

Prime factors of 41530 are 2, 5, 4153. Prime factorization of 41530 in exponential form is:

41530 = 2¹ × 5¹ × 4153¹

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 41530

List of positive integer factors of 41530 that divides 41530 without a remainder.

1, 2, 5, 10, 4153, 8306, 20765

Step-4: Factors of 41536

List of positive integer factors of 41536 that divides 41530 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 41530 and 41536. The biggest common factor number is the GCF number.
So the greatest common factor 41530 and 41536 is 2.

Also check out the Least Common Multiple of 41530 and 41536