What is the Greatest Common Factor of 41749 and 41766?

Greatest common factor (GCF) of 41749 and 41766 is 1.

GCF(41749,41766) = 1

We will now calculate the prime factors of 41749 and 41766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41749 and 41766.

How to find the GCF of 41749 and 41766?

We will first find the prime factorization of 41749 and 41766. After we will calculate the factors of 41749 and 41766 and find the biggest common factor number .

Step-1: Prime Factorization of 41749

Prime factors of 41749 are 83, 503. Prime factorization of 41749 in exponential form is:

41749 = 83¹ × 503¹

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 41749

List of positive integer factors of 41749 that divides 41749 without a remainder.

1, 83, 503

Step-4: Factors of 41766

List of positive integer factors of 41766 that divides 41749 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41749 and 41766. The biggest common factor number is the GCF number.
So the greatest common factor 41749 and 41766 is 1.

Also check out the Least Common Multiple of 41749 and 41766