What is the Greatest Common Factor of 41724 and 41743?

Greatest common factor (GCF) of 41724 and 41743 is 19.

GCF(41724,41743) = 19

We will now calculate the prime factors of 41724 and 41743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41724 and 41743.

How to find the GCF of 41724 and 41743?

We will first find the prime factorization of 41724 and 41743. After we will calculate the factors of 41724 and 41743 and find the biggest common factor number .

Step-1: Prime Factorization of 41724

Prime factors of 41724 are 2, 3, 19, 61. Prime factorization of 41724 in exponential form is:

41724 = 2² × 3² × 19¹ × 61¹

Step-2: Prime Factorization of 41743

Prime factors of 41743 are 13, 19. Prime factorization of 41743 in exponential form is:

41743 = 13³ × 19¹

Step-3: Factors of 41724

List of positive integer factors of 41724 that divides 41724 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 61, 76, 114, 122, 171, 183, 228, 244, 342, 366, 549, 684, 732, 1098, 1159, 2196, 2318, 3477, 4636, 6954, 10431, 13908, 20862

Step-4: Factors of 41743

List of positive integer factors of 41743 that divides 41724 without a remainder.

1, 13, 19, 169, 247, 2197, 3211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41724 and 41743. The biggest common factor number is the GCF number.
So the greatest common factor 41724 and 41743 is 19.

Also check out the Least Common Multiple of 41724 and 41743