What is the Greatest Common Factor of 41536 and 41540?

Greatest common factor (GCF) of 41536 and 41540 is 4.

GCF(41536,41540) = 4

We will now calculate the prime factors of 41536 and 41540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41536 and 41540.

How to find the GCF of 41536 and 41540?

We will first find the prime factorization of 41536 and 41540. After we will calculate the factors of 41536 and 41540 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41540

Prime factors of 41540 are 2, 5, 31, 67. Prime factorization of 41540 in exponential form is:

41540 = 2² × 5¹ × 31¹ × 67¹

Step-3: Factors of 41536

List of positive integer factors of 41536 that divides 41536 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

Step-4: Factors of 41540

List of positive integer factors of 41540 that divides 41536 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 67, 124, 134, 155, 268, 310, 335, 620, 670, 1340, 2077, 4154, 8308, 10385, 20770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41536 and 41540. The biggest common factor number is the GCF number.
So the greatest common factor 41536 and 41540 is 4.

Also check out the Least Common Multiple of 41536 and 41540