What is the Greatest Common Factor of 41730 and 41743?

Greatest common factor (GCF) of 41730 and 41743 is 13.

GCF(41730,41743) = 13

We will now calculate the prime factors of 41730 and 41743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41730 and 41743.

How to find the GCF of 41730 and 41743?

We will first find the prime factorization of 41730 and 41743. After we will calculate the factors of 41730 and 41743 and find the biggest common factor number .

Step-1: Prime Factorization of 41730

Prime factors of 41730 are 2, 3, 5, 13, 107. Prime factorization of 41730 in exponential form is:

41730 = 2¹ × 3¹ × 5¹ × 13¹ × 107¹

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 41730

List of positive integer factors of 41730 that divides 41730 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 107, 130, 195, 214, 321, 390, 535, 642, 1070, 1391, 1605, 2782, 3210, 4173, 6955, 8346, 13910, 20865

Step-4: Factors of 41743

List of positive integer factors of 41743 that divides 41730 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41730 and 41743. The biggest common factor number is the GCF number.
So the greatest common factor 41730 and 41743 is 13.

Also check out the Least Common Multiple of 41730 and 41743