What is the Greatest Common Factor of 47660 and 47680?

Greatest common factor (GCF) of 47660 and 47680 is 20.

GCF(47660,47680) = 20

We will now calculate the prime factors of 47660 and 47680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47660 and 47680.

How to find the GCF of 47660 and 47680?

We will first find the prime factorization of 47660 and 47680. After we will calculate the factors of 47660 and 47680 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47680

Prime factors of 47680 are 2, 5, 149. Prime factorization of 47680 in exponential form is:

47680 = 2⁶ × 5¹ × 149¹

Step-3: Factors of 47660

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

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

Step-4: Factors of 47680

List of positive integer factors of 47680 that divides 47660 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 149, 160, 298, 320, 596, 745, 1192, 1490, 2384, 2980, 4768, 5960, 9536, 11920, 23840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47660 and 47680. The biggest common factor number is the GCF number.
So the greatest common factor 47660 and 47680 is 20.

Also check out the Least Common Multiple of 47660 and 47680