What is the Greatest Common Factor of 41705 and 41724?

Greatest common factor (GCF) of 41705 and 41724 is 19.

GCF(41705,41724) = 19

We will now calculate the prime factors of 41705 and 41724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41705 and 41724.

How to find the GCF of 41705 and 41724?

We will first find the prime factorization of 41705 and 41724. After we will calculate the factors of 41705 and 41724 and find the biggest common factor number .

Step-1: Prime Factorization of 41705

Prime factors of 41705 are 5, 19, 439. Prime factorization of 41705 in exponential form is:

41705 = 5¹ × 19¹ × 439¹

Step-2: 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-3: Factors of 41705

List of positive integer factors of 41705 that divides 41705 without a remainder.

1, 5, 19, 95, 439, 2195, 8341

Step-4: Factors of 41724

List of positive integer factors of 41724 that divides 41705 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41705 and 41724. The biggest common factor number is the GCF number.
So the greatest common factor 41705 and 41724 is 19.

Also check out the Least Common Multiple of 41705 and 41724