What is the Greatest Common Factor of 40251 and 40266?

Greatest common factor (GCF) of 40251 and 40266 is 3.

GCF(40251,40266) = 3

We will now calculate the prime factors of 40251 and 40266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40251 and 40266.

How to find the GCF of 40251 and 40266?

We will first find the prime factorization of 40251 and 40266. After we will calculate the factors of 40251 and 40266 and find the biggest common factor number .

Step-1: Prime Factorization of 40251

Prime factors of 40251 are 3, 13417. Prime factorization of 40251 in exponential form is:

40251 = 3¹ × 13417¹

Step-2: Prime Factorization of 40266

Prime factors of 40266 are 2, 3, 2237. Prime factorization of 40266 in exponential form is:

40266 = 2¹ × 3² × 2237¹

Step-3: Factors of 40251

List of positive integer factors of 40251 that divides 40251 without a remainder.

1, 3, 13417

Step-4: Factors of 40266

List of positive integer factors of 40266 that divides 40251 without a remainder.

1, 2, 3, 6, 9, 18, 2237, 4474, 6711, 13422, 20133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40251 and 40266. The biggest common factor number is the GCF number.
So the greatest common factor 40251 and 40266 is 3.

Also check out the Least Common Multiple of 40251 and 40266