What is the Greatest Common Factor of 47631 and 47649?

Greatest common factor (GCF) of 47631 and 47649 is 3.

GCF(47631,47649) = 3

We will now calculate the prime factors of 47631 and 47649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47631 and 47649.

How to find the GCF of 47631 and 47649?

We will first find the prime factorization of 47631 and 47649. After we will calculate the factors of 47631 and 47649 and find the biggest common factor number .

Step-1: Prime Factorization of 47631

Prime factors of 47631 are 3, 15877. Prime factorization of 47631 in exponential form is:

47631 = 3¹ × 15877¹

Step-2: Prime Factorization of 47649

Prime factors of 47649 are 3, 7, 2269. Prime factorization of 47649 in exponential form is:

47649 = 3¹ × 7¹ × 2269¹

Step-3: Factors of 47631

List of positive integer factors of 47631 that divides 47631 without a remainder.

1, 3, 15877

Step-4: Factors of 47649

List of positive integer factors of 47649 that divides 47631 without a remainder.

1, 3, 7, 21, 2269, 6807, 15883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47631 and 47649. The biggest common factor number is the GCF number.
So the greatest common factor 47631 and 47649 is 3.

Also check out the Least Common Multiple of 47631 and 47649