What is the Greatest Common Factor of 41724 and 41742?

Greatest common factor (GCF) of 41724 and 41742 is 18.

GCF(41724,41742) = 18

We will now calculate the prime factors of 41724 and 41742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41724 and 41742.

How to find the GCF of 41724 and 41742?

We will first find the prime factorization of 41724 and 41742. After we will calculate the factors of 41724 and 41742 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 41742

Prime factors of 41742 are 2, 3, 773. Prime factorization of 41742 in exponential form is:

41742 = 2¹ × 3³ × 773¹

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 41742

List of positive integer factors of 41742 that divides 41724 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 773, 1546, 2319, 4638, 6957, 13914, 20871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41724 and 41742. The biggest common factor number is the GCF number.
So the greatest common factor 41724 and 41742 is 18.

Also check out the Least Common Multiple of 41724 and 41742