What is the Greatest Common Factor of 41524 and 41536?

Greatest common factor (GCF) of 41524 and 41536 is 4.

GCF(41524,41536) = 4

We will now calculate the prime factors of 41524 and 41536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41524 and 41536.

How to find the GCF of 41524 and 41536?

We will first find the prime factorization of 41524 and 41536. After we will calculate the factors of 41524 and 41536 and find the biggest common factor number .

Step-1: Prime Factorization of 41524

Prime factors of 41524 are 2, 7, 1483. Prime factorization of 41524 in exponential form is:

41524 = 2² × 7¹ × 1483¹

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 41524

List of positive integer factors of 41524 that divides 41524 without a remainder.

1, 2, 4, 7, 14, 28, 1483, 2966, 5932, 10381, 20762

Step-4: Factors of 41536

List of positive integer factors of 41536 that divides 41524 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 41524 and 41536. The biggest common factor number is the GCF number.
So the greatest common factor 41524 and 41536 is 4.

Also check out the Least Common Multiple of 41524 and 41536