What is the Greatest Common Factor of 40893 and 40902?

Greatest common factor (GCF) of 40893 and 40902 is 3.

GCF(40893,40902) = 3

We will now calculate the prime factors of 40893 and 40902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40893 and 40902.

How to find the GCF of 40893 and 40902?

We will first find the prime factorization of 40893 and 40902. After we will calculate the factors of 40893 and 40902 and find the biggest common factor number .

Step-1: Prime Factorization of 40893

Prime factors of 40893 are 3, 43, 317. Prime factorization of 40893 in exponential form is:

40893 = 3¹ × 43¹ × 317¹

Step-2: Prime Factorization of 40902

Prime factors of 40902 are 2, 3, 17, 401. Prime factorization of 40902 in exponential form is:

40902 = 2¹ × 3¹ × 17¹ × 401¹

Step-3: Factors of 40893

List of positive integer factors of 40893 that divides 40893 without a remainder.

1, 3, 43, 129, 317, 951, 13631

Step-4: Factors of 40902

List of positive integer factors of 40902 that divides 40893 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 401, 802, 1203, 2406, 6817, 13634, 20451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40893 and 40902. The biggest common factor number is the GCF number.
So the greatest common factor 40893 and 40902 is 3.

Also check out the Least Common Multiple of 40893 and 40902