What is the Greatest Common Factor of 41540 and 41548?

Greatest common factor (GCF) of 41540 and 41548 is 4.

GCF(41540,41548) = 4

We will now calculate the prime factors of 41540 and 41548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41540 and 41548.

How to find the GCF of 41540 and 41548?

We will first find the prime factorization of 41540 and 41548. After we will calculate the factors of 41540 and 41548 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41548

Prime factors of 41548 are 2, 13, 17, 47. Prime factorization of 41548 in exponential form is:

41548 = 2² × 13¹ × 17¹ × 47¹

Step-3: Factors of 41540

List of positive integer factors of 41540 that divides 41540 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

Step-4: Factors of 41548

List of positive integer factors of 41548 that divides 41540 without a remainder.

1, 2, 4, 13, 17, 26, 34, 47, 52, 68, 94, 188, 221, 442, 611, 799, 884, 1222, 1598, 2444, 3196, 10387, 20774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41540 and 41548. The biggest common factor number is the GCF number.
So the greatest common factor 41540 and 41548 is 4.

Also check out the Least Common Multiple of 41540 and 41548