What is the Greatest Common Factor of 41769 and 41783?

Greatest common factor (GCF) of 41769 and 41783 is 7.

GCF(41769,41783) = 7

We will now calculate the prime factors of 41769 and 41783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41769 and 41783.

How to find the GCF of 41769 and 41783?

We will first find the prime factorization of 41769 and 41783. After we will calculate the factors of 41769 and 41783 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 41783

Prime factors of 41783 are 7, 47, 127. Prime factorization of 41783 in exponential form is:

41783 = 7¹ × 47¹ × 127¹

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 41783

List of positive integer factors of 41783 that divides 41769 without a remainder.

1, 7, 47, 127, 329, 889, 5969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41769 and 41783. The biggest common factor number is the GCF number.
So the greatest common factor 41769 and 41783 is 7.

Also check out the Least Common Multiple of 41769 and 41783