What is the Greatest Common Factor of 34635 and 34644?

Greatest common factor (GCF) of 34635 and 34644 is 3.

GCF(34635,34644) = 3

We will now calculate the prime factors of 34635 and 34644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34635 and 34644.

How to find the GCF of 34635 and 34644?

We will first find the prime factorization of 34635 and 34644. After we will calculate the factors of 34635 and 34644 and find the biggest common factor number .

Step-1: Prime Factorization of 34635

Prime factors of 34635 are 3, 5, 2309. Prime factorization of 34635 in exponential form is:

34635 = 3¹ × 5¹ × 2309¹

Step-2: Prime Factorization of 34644

Prime factors of 34644 are 2, 3, 2887. Prime factorization of 34644 in exponential form is:

34644 = 2² × 3¹ × 2887¹

Step-3: Factors of 34635

List of positive integer factors of 34635 that divides 34635 without a remainder.

1, 3, 5, 15, 2309, 6927, 11545

Step-4: Factors of 34644

List of positive integer factors of 34644 that divides 34635 without a remainder.

1, 2, 3, 4, 6, 12, 2887, 5774, 8661, 11548, 17322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34635 and 34644. The biggest common factor number is the GCF number.
So the greatest common factor 34635 and 34644 is 3.

Also check out the Least Common Multiple of 34635 and 34644