What is the Greatest Common Factor of 40754 and 40772?

Greatest common factor (GCF) of 40754 and 40772 is 2.

GCF(40754,40772) = 2

We will now calculate the prime factors of 40754 and 40772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40754 and 40772.

How to find the GCF of 40754 and 40772?

We will first find the prime factorization of 40754 and 40772. After we will calculate the factors of 40754 and 40772 and find the biggest common factor number .

Step-1: Prime Factorization of 40754

Prime factors of 40754 are 2, 7, 41, 71. Prime factorization of 40754 in exponential form is:

40754 = 2¹ × 7¹ × 41¹ × 71¹

Step-2: Prime Factorization of 40772

Prime factors of 40772 are 2, 10193. Prime factorization of 40772 in exponential form is:

40772 = 2² × 10193¹

Step-3: Factors of 40754

List of positive integer factors of 40754 that divides 40754 without a remainder.

1, 2, 7, 14, 41, 71, 82, 142, 287, 497, 574, 994, 2911, 5822, 20377

Step-4: Factors of 40772

List of positive integer factors of 40772 that divides 40754 without a remainder.

1, 2, 4, 10193, 20386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40754 and 40772. The biggest common factor number is the GCF number.
So the greatest common factor 40754 and 40772 is 2.

Also check out the Least Common Multiple of 40754 and 40772