What is the Greatest Common Factor of 40635 and 40649?

Greatest common factor (GCF) of 40635 and 40649 is 7.

GCF(40635,40649) = 7

We will now calculate the prime factors of 40635 and 40649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40635 and 40649.

How to find the GCF of 40635 and 40649?

We will first find the prime factorization of 40635 and 40649. After we will calculate the factors of 40635 and 40649 and find the biggest common factor number .

Step-1: Prime Factorization of 40635

Prime factors of 40635 are 3, 5, 7, 43. Prime factorization of 40635 in exponential form is:

40635 = 3³ × 5¹ × 7¹ × 43¹

Step-2: Prime Factorization of 40649

Prime factors of 40649 are 7, 5807. Prime factorization of 40649 in exponential form is:

40649 = 7¹ × 5807¹

Step-3: Factors of 40635

List of positive integer factors of 40635 that divides 40635 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 43, 45, 63, 105, 129, 135, 189, 215, 301, 315, 387, 645, 903, 945, 1161, 1505, 1935, 2709, 4515, 5805, 8127, 13545

Step-4: Factors of 40649

List of positive integer factors of 40649 that divides 40635 without a remainder.

1, 7, 5807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40635 and 40649. The biggest common factor number is the GCF number.
So the greatest common factor 40635 and 40649 is 7.

Also check out the Least Common Multiple of 40635 and 40649