What is the Greatest Common Factor of 40749 and 40766?

Greatest common factor (GCF) of 40749 and 40766 is 17.

GCF(40749,40766) = 17

We will now calculate the prime factors of 40749 and 40766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40749 and 40766.

How to find the GCF of 40749 and 40766?

We will first find the prime factorization of 40749 and 40766. After we will calculate the factors of 40749 and 40766 and find the biggest common factor number .

Step-1: Prime Factorization of 40749

Prime factors of 40749 are 3, 17, 47. Prime factorization of 40749 in exponential form is:

40749 = 3¹ × 17² × 47¹

Step-2: Prime Factorization of 40766

Prime factors of 40766 are 2, 11, 17, 109. Prime factorization of 40766 in exponential form is:

40766 = 2¹ × 11¹ × 17¹ × 109¹

Step-3: Factors of 40749

List of positive integer factors of 40749 that divides 40749 without a remainder.

1, 3, 17, 47, 51, 141, 289, 799, 867, 2397, 13583

Step-4: Factors of 40766

List of positive integer factors of 40766 that divides 40749 without a remainder.

1, 2, 11, 17, 22, 34, 109, 187, 218, 374, 1199, 1853, 2398, 3706, 20383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40749 and 40766. The biggest common factor number is the GCF number.
So the greatest common factor 40749 and 40766 is 17.

Also check out the Least Common Multiple of 40749 and 40766