What is the Greatest Common Factor of 46635 and 46641?

Greatest common factor (GCF) of 46635 and 46641 is 3.

GCF(46635,46641) = 3

We will now calculate the prime factors of 46635 and 46641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46635 and 46641.

How to find the GCF of 46635 and 46641?

We will first find the prime factorization of 46635 and 46641. After we will calculate the factors of 46635 and 46641 and find the biggest common factor number .

Step-1: Prime Factorization of 46635

Prime factors of 46635 are 3, 5, 3109. Prime factorization of 46635 in exponential form is:

46635 = 3¹ × 5¹ × 3109¹

Step-2: Prime Factorization of 46641

Prime factors of 46641 are 3, 7, 2221. Prime factorization of 46641 in exponential form is:

46641 = 3¹ × 7¹ × 2221¹

Step-3: Factors of 46635

List of positive integer factors of 46635 that divides 46635 without a remainder.

1, 3, 5, 15, 3109, 9327, 15545

Step-4: Factors of 46641

List of positive integer factors of 46641 that divides 46635 without a remainder.

1, 3, 7, 21, 2221, 6663, 15547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46635 and 46641. The biggest common factor number is the GCF number.
So the greatest common factor 46635 and 46641 is 3.

Also check out the Least Common Multiple of 46635 and 46641