What is the Greatest Common Factor of 41750 and 41766?

Greatest common factor (GCF) of 41750 and 41766 is 2.

GCF(41750,41766) = 2

We will now calculate the prime factors of 41750 and 41766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41750 and 41766.

How to find the GCF of 41750 and 41766?

We will first find the prime factorization of 41750 and 41766. After we will calculate the factors of 41750 and 41766 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41766

Prime factors of 41766 are 2, 3, 6961. Prime factorization of 41766 in exponential form is:

41766 = 2¹ × 3¹ × 6961¹

Step-3: Factors of 41750

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

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

Step-4: Factors of 41766

List of positive integer factors of 41766 that divides 41750 without a remainder.

1, 2, 3, 6, 6961, 13922, 20883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41750 and 41766. The biggest common factor number is the GCF number.
So the greatest common factor 41750 and 41766 is 2.

Also check out the Least Common Multiple of 41750 and 41766