What is the Greatest Common Factor of 41724 and 41733?

Greatest common factor (GCF) of 41724 and 41733 is 9.

GCF(41724,41733) = 9

We will now calculate the prime factors of 41724 and 41733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41724 and 41733.

How to find the GCF of 41724 and 41733?

We will first find the prime factorization of 41724 and 41733. After we will calculate the factors of 41724 and 41733 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 41733

Prime factors of 41733 are 3, 4637. Prime factorization of 41733 in exponential form is:

41733 = 3² × 4637¹

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 41733

List of positive integer factors of 41733 that divides 41724 without a remainder.

1, 3, 9, 4637, 13911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41724 and 41733. The biggest common factor number is the GCF number.
So the greatest common factor 41724 and 41733 is 9.

Also check out the Least Common Multiple of 41724 and 41733