What is the Greatest Common Factor of 46641 and 46653?

Greatest common factor (GCF) of 46641 and 46653 is 3.

GCF(46641,46653) = 3

We will now calculate the prime factors of 46641 and 46653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46641 and 46653.

How to find the GCF of 46641 and 46653?

We will first find the prime factorization of 46641 and 46653. After we will calculate the factors of 46641 and 46653 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46653

Prime factors of 46653 are 3, 15551. Prime factorization of 46653 in exponential form is:

46653 = 3¹ × 15551¹

Step-3: Factors of 46641

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

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

Step-4: Factors of 46653

List of positive integer factors of 46653 that divides 46641 without a remainder.

1, 3, 15551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46641 and 46653. The biggest common factor number is the GCF number.
So the greatest common factor 46641 and 46653 is 3.

Also check out the Least Common Multiple of 46641 and 46653