What is the Greatest Common Factor of 47649 and 47660?

Greatest common factor (GCF) of 47649 and 47660 is 1.

GCF(47649,47660) = 1

We will now calculate the prime factors of 47649 and 47660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47649 and 47660.

How to find the GCF of 47649 and 47660?

We will first find the prime factorization of 47649 and 47660. After we will calculate the factors of 47649 and 47660 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47660

Prime factors of 47660 are 2, 5, 2383. Prime factorization of 47660 in exponential form is:

47660 = 2² × 5¹ × 2383¹

Step-3: Factors of 47649

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

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

Step-4: Factors of 47660

List of positive integer factors of 47660 that divides 47649 without a remainder.

1, 2, 4, 5, 10, 20, 2383, 4766, 9532, 11915, 23830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47649 and 47660. The biggest common factor number is the GCF number.
So the greatest common factor 47649 and 47660 is 1.

Also check out the Least Common Multiple of 47649 and 47660