What is the Greatest Common Factor of 47680 and 47695?

Greatest common factor (GCF) of 47680 and 47695 is 5.

GCF(47680,47695) = 5

We will now calculate the prime factors of 47680 and 47695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47680 and 47695.

How to find the GCF of 47680 and 47695?

We will first find the prime factorization of 47680 and 47695. After we will calculate the factors of 47680 and 47695 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47695

Prime factors of 47695 are 5, 9539. Prime factorization of 47695 in exponential form is:

47695 = 5¹ × 9539¹

Step-3: Factors of 47680

List of positive integer factors of 47680 that divides 47680 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

Step-4: Factors of 47695

List of positive integer factors of 47695 that divides 47680 without a remainder.

1, 5, 9539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47680 and 47695. The biggest common factor number is the GCF number.
So the greatest common factor 47680 and 47695 is 5.

Also check out the Least Common Multiple of 47680 and 47695