What is the Greatest Common Factor of 40641 and 40660?

Greatest common factor (GCF) of 40641 and 40660 is 19.

GCF(40641,40660) = 19

We will now calculate the prime factors of 40641 and 40660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40641 and 40660.

How to find the GCF of 40641 and 40660?

We will first find the prime factorization of 40641 and 40660. After we will calculate the factors of 40641 and 40660 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40660

Prime factors of 40660 are 2, 5, 19, 107. Prime factorization of 40660 in exponential form is:

40660 = 2² × 5¹ × 19¹ × 107¹

Step-3: Factors of 40641

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

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

Step-4: Factors of 40660

List of positive integer factors of 40660 that divides 40641 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 107, 190, 214, 380, 428, 535, 1070, 2033, 2140, 4066, 8132, 10165, 20330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40641 and 40660. The biggest common factor number is the GCF number.
So the greatest common factor 40641 and 40660 is 19.

Also check out the Least Common Multiple of 40641 and 40660