What is the Greatest Common Factor of 40737 and 40752?

Greatest common factor (GCF) of 40737 and 40752 is 3.

GCF(40737,40752) = 3

We will now calculate the prime factors of 40737 and 40752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40737 and 40752.

How to find the GCF of 40737 and 40752?

We will first find the prime factorization of 40737 and 40752. After we will calculate the factors of 40737 and 40752 and find the biggest common factor number .

Step-1: Prime Factorization of 40737

Prime factors of 40737 are 3, 37, 367. Prime factorization of 40737 in exponential form is:

40737 = 3¹ × 37¹ × 367¹

Step-2: Prime Factorization of 40752

Prime factors of 40752 are 2, 3, 283. Prime factorization of 40752 in exponential form is:

40752 = 2⁴ × 3² × 283¹

Step-3: Factors of 40737

List of positive integer factors of 40737 that divides 40737 without a remainder.

1, 3, 37, 111, 367, 1101, 13579

Step-4: Factors of 40752

List of positive integer factors of 40752 that divides 40737 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 283, 566, 849, 1132, 1698, 2264, 2547, 3396, 4528, 5094, 6792, 10188, 13584, 20376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40737 and 40752. The biggest common factor number is the GCF number.
So the greatest common factor 40737 and 40752 is 3.

Also check out the Least Common Multiple of 40737 and 40752