What is the Greatest Common Factor of 40629 and 40641?

Greatest common factor (GCF) of 40629 and 40641 is 3.

GCF(40629,40641) = 3

We will now calculate the prime factors of 40629 and 40641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40629 and 40641.

How to find the GCF of 40629 and 40641?

We will first find the prime factorization of 40629 and 40641. After we will calculate the factors of 40629 and 40641 and find the biggest common factor number .

Step-1: Prime Factorization of 40629

Prime factors of 40629 are 3, 29, 467. Prime factorization of 40629 in exponential form is:

40629 = 3¹ × 29¹ × 467¹

Step-2: Prime Factorization of 40641

Prime factors of 40641 are 3, 19, 23, 31. Prime factorization of 40641 in exponential form is:

40641 = 3¹ × 19¹ × 23¹ × 31¹

Step-3: Factors of 40629

List of positive integer factors of 40629 that divides 40629 without a remainder.

1, 3, 29, 87, 467, 1401, 13543

Step-4: Factors of 40641

List of positive integer factors of 40641 that divides 40629 without a remainder.

1, 3, 19, 23, 31, 57, 69, 93, 437, 589, 713, 1311, 1767, 2139, 13547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40629 and 40641. The biggest common factor number is the GCF number.
So the greatest common factor 40629 and 40641 is 3.

Also check out the Least Common Multiple of 40629 and 40641