What is the Greatest Common Factor of 41574 and 41584?

Greatest common factor (GCF) of 41574 and 41584 is 2.

GCF(41574,41584) = 2

We will now calculate the prime factors of 41574 and 41584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41574 and 41584.

How to find the GCF of 41574 and 41584?

We will first find the prime factorization of 41574 and 41584. After we will calculate the factors of 41574 and 41584 and find the biggest common factor number .

Step-1: Prime Factorization of 41574

Prime factors of 41574 are 2, 3, 13, 41. Prime factorization of 41574 in exponential form is:

41574 = 2¹ × 3¹ × 13² × 41¹

Step-2: Prime Factorization of 41584

Prime factors of 41584 are 2, 23, 113. Prime factorization of 41584 in exponential form is:

41584 = 2⁴ × 23¹ × 113¹

Step-3: Factors of 41574

List of positive integer factors of 41574 that divides 41574 without a remainder.

1, 2, 3, 6, 13, 26, 39, 41, 78, 82, 123, 169, 246, 338, 507, 533, 1014, 1066, 1599, 3198, 6929, 13858, 20787

Step-4: Factors of 41584

List of positive integer factors of 41584 that divides 41574 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 113, 184, 226, 368, 452, 904, 1808, 2599, 5198, 10396, 20792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41574 and 41584. The biggest common factor number is the GCF number.
So the greatest common factor 41574 and 41584 is 2.

Also check out the Least Common Multiple of 41574 and 41584