What is the Greatest Common Factor of 41534 and 41540?

Greatest common factor (GCF) of 41534 and 41540 is 2.

GCF(41534,41540) = 2

We will now calculate the prime factors of 41534 and 41540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41534 and 41540.

How to find the GCF of 41534 and 41540?

We will first find the prime factorization of 41534 and 41540. After we will calculate the factors of 41534 and 41540 and find the biggest common factor number .

Step-1: Prime Factorization of 41534

Prime factors of 41534 are 2, 19, 1093. Prime factorization of 41534 in exponential form is:

41534 = 2¹ × 19¹ × 1093¹

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 41534

List of positive integer factors of 41534 that divides 41534 without a remainder.

1, 2, 19, 38, 1093, 2186, 20767

Step-4: Factors of 41540

List of positive integer factors of 41540 that divides 41534 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 41534 and 41540. The biggest common factor number is the GCF number.
So the greatest common factor 41534 and 41540 is 2.

Also check out the Least Common Multiple of 41534 and 41540