What is the Greatest Common Factor of 47640 and 47649?

Greatest common factor (GCF) of 47640 and 47649 is 3.

GCF(47640,47649) = 3

We will now calculate the prime factors of 47640 and 47649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47640 and 47649.

How to find the GCF of 47640 and 47649?

We will first find the prime factorization of 47640 and 47649. After we will calculate the factors of 47640 and 47649 and find the biggest common factor number .

Step-1: Prime Factorization of 47640

Prime factors of 47640 are 2, 3, 5, 397. Prime factorization of 47640 in exponential form is:

47640 = 2³ × 3¹ × 5¹ × 397¹

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 47640

List of positive integer factors of 47640 that divides 47640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 397, 794, 1191, 1588, 1985, 2382, 3176, 3970, 4764, 5955, 7940, 9528, 11910, 15880, 23820

Step-4: Factors of 47649

List of positive integer factors of 47649 that divides 47640 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47640 and 47649. The biggest common factor number is the GCF number.
So the greatest common factor 47640 and 47649 is 3.

Also check out the Least Common Multiple of 47640 and 47649