What is the Greatest Common Factor of 41769 and 41786?

Greatest common factor (GCF) of 41769 and 41786 is 17.

GCF(41769,41786) = 17

We will now calculate the prime factors of 41769 and 41786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41769 and 41786.

How to find the GCF of 41769 and 41786?

We will first find the prime factorization of 41769 and 41786. After we will calculate the factors of 41769 and 41786 and find the biggest common factor number .

Step-1: Prime Factorization of 41769

Prime factors of 41769 are 3, 7, 13, 17. Prime factorization of 41769 in exponential form is:

41769 = 3³ × 7¹ × 13¹ × 17¹

Step-2: Prime Factorization of 41786

Prime factors of 41786 are 2, 17, 1229. Prime factorization of 41786 in exponential form is:

41786 = 2¹ × 17¹ × 1229¹

Step-3: Factors of 41769

List of positive integer factors of 41769 that divides 41769 without a remainder.

1, 3, 7, 9, 13, 17, 21, 27, 39, 51, 63, 91, 117, 119, 153, 189, 221, 273, 351, 357, 459, 663, 819, 1071, 1547, 1989, 2457, 3213, 4641, 5967, 13923

Step-4: Factors of 41786

List of positive integer factors of 41786 that divides 41769 without a remainder.

1, 2, 17, 34, 1229, 2458, 20893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41769 and 41786. The biggest common factor number is the GCF number.
So the greatest common factor 41769 and 41786 is 17.

Also check out the Least Common Multiple of 41769 and 41786