What is the Greatest Common Factor of 40047 and 40059?

Greatest common factor (GCF) of 40047 and 40059 is 3.

GCF(40047,40059) = 3

We will now calculate the prime factors of 40047 and 40059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40047 and 40059.

How to find the GCF of 40047 and 40059?

We will first find the prime factorization of 40047 and 40059. After we will calculate the factors of 40047 and 40059 and find the biggest common factor number .

Step-1: Prime Factorization of 40047

Prime factors of 40047 are 3, 7, 1907. Prime factorization of 40047 in exponential form is:

40047 = 3¹ × 7¹ × 1907¹

Step-2: Prime Factorization of 40059

Prime factors of 40059 are 3, 4451. Prime factorization of 40059 in exponential form is:

40059 = 3² × 4451¹

Step-3: Factors of 40047

List of positive integer factors of 40047 that divides 40047 without a remainder.

1, 3, 7, 21, 1907, 5721, 13349

Step-4: Factors of 40059

List of positive integer factors of 40059 that divides 40047 without a remainder.

1, 3, 9, 4451, 13353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40047 and 40059. The biggest common factor number is the GCF number.
So the greatest common factor 40047 and 40059 is 3.

Also check out the Least Common Multiple of 40047 and 40059