What is the Greatest Common Factor of 41730 and 41750?

Greatest common factor (GCF) of 41730 and 41750 is 10.

GCF(41730,41750) = 10

We will now calculate the prime factors of 41730 and 41750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41730 and 41750.

How to find the GCF of 41730 and 41750?

We will first find the prime factorization of 41730 and 41750. After we will calculate the factors of 41730 and 41750 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 41750

Prime factors of 41750 are 2, 5, 167. Prime factorization of 41750 in exponential form is:

41750 = 2¹ × 5³ × 167¹

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 41750

List of positive integer factors of 41750 that divides 41730 without a remainder.

1, 2, 5, 10, 25, 50, 125, 167, 250, 334, 835, 1670, 4175, 8350, 20875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41730 and 41750. The biggest common factor number is the GCF number.
So the greatest common factor 41730 and 41750 is 10.

Also check out the Least Common Multiple of 41730 and 41750