What is the Greatest Common Factor of 40732 and 40749?

Greatest common factor (GCF) of 40732 and 40749 is 17.

GCF(40732,40749) = 17

We will now calculate the prime factors of 40732 and 40749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40732 and 40749.

How to find the GCF of 40732 and 40749?

We will first find the prime factorization of 40732 and 40749. After we will calculate the factors of 40732 and 40749 and find the biggest common factor number .

Step-1: Prime Factorization of 40732

Prime factors of 40732 are 2, 17, 599. Prime factorization of 40732 in exponential form is:

40732 = 2² × 17¹ × 599¹

Step-2: 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-3: Factors of 40732

List of positive integer factors of 40732 that divides 40732 without a remainder.

1, 2, 4, 17, 34, 68, 599, 1198, 2396, 10183, 20366

Step-4: Factors of 40749

List of positive integer factors of 40749 that divides 40732 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40732 and 40749. The biggest common factor number is the GCF number.
So the greatest common factor 40732 and 40749 is 17.

Also check out the Least Common Multiple of 40732 and 40749