What is the Greatest Common Factor of 41528 and 41536?

Greatest common factor (GCF) of 41528 and 41536 is 8.

GCF(41528,41536) = 8

We will now calculate the prime factors of 41528 and 41536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41528 and 41536.

How to find the GCF of 41528 and 41536?

We will first find the prime factorization of 41528 and 41536. After we will calculate the factors of 41528 and 41536 and find the biggest common factor number .

Step-1: Prime Factorization of 41528

Prime factors of 41528 are 2, 29, 179. Prime factorization of 41528 in exponential form is:

41528 = 2³ × 29¹ × 179¹

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 41528

List of positive integer factors of 41528 that divides 41528 without a remainder.

1, 2, 4, 8, 29, 58, 116, 179, 232, 358, 716, 1432, 5191, 10382, 20764

Step-4: Factors of 41536

List of positive integer factors of 41536 that divides 41528 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 41528 and 41536. The biggest common factor number is the GCF number.
So the greatest common factor 41528 and 41536 is 8.

Also check out the Least Common Multiple of 41528 and 41536