What is the Greatest Common Factor of 40629 and 40635?

Greatest common factor (GCF) of 40629 and 40635 is 3.

GCF(40629,40635) = 3

We will now calculate the prime factors of 40629 and 40635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40629 and 40635.

How to find the GCF of 40629 and 40635?

We will first find the prime factorization of 40629 and 40635. After we will calculate the factors of 40629 and 40635 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 40635

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

40635 = 3³ × 5¹ × 7¹ × 43¹

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 40635

List of positive integer factors of 40635 that divides 40629 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40629 and 40635. The biggest common factor number is the GCF number.
So the greatest common factor 40629 and 40635 is 3.

Also check out the Least Common Multiple of 40629 and 40635