What is the Greatest Common Factor of 40033 and 40047?

Greatest common factor (GCF) of 40033 and 40047 is 7.

GCF(40033,40047) = 7

We will now calculate the prime factors of 40033 and 40047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40033 and 40047.

How to find the GCF of 40033 and 40047?

We will first find the prime factorization of 40033 and 40047. After we will calculate the factors of 40033 and 40047 and find the biggest common factor number .

Step-1: Prime Factorization of 40033

Prime factors of 40033 are 7, 19, 43. Prime factorization of 40033 in exponential form is:

40033 = 7² × 19¹ × 43¹

Step-2: 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-3: Factors of 40033

List of positive integer factors of 40033 that divides 40033 without a remainder.

1, 7, 19, 43, 49, 133, 301, 817, 931, 2107, 5719

Step-4: Factors of 40047

List of positive integer factors of 40047 that divides 40033 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40033 and 40047. The biggest common factor number is the GCF number.
So the greatest common factor 40033 and 40047 is 7.

Also check out the Least Common Multiple of 40033 and 40047