What is the Greatest Common Factor of 47671 and 47680?

Greatest common factor (GCF) of 47671 and 47680 is 1.

GCF(47671,47680) = 1

We will now calculate the prime factors of 47671 and 47680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47671 and 47680.

How to find the GCF of 47671 and 47680?

We will first find the prime factorization of 47671 and 47680. After we will calculate the factors of 47671 and 47680 and find the biggest common factor number .

Step-1: Prime Factorization of 47671

Prime factors of 47671 are 13, 19, 193. Prime factorization of 47671 in exponential form is:

47671 = 13¹ × 19¹ × 193¹

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 47671

List of positive integer factors of 47671 that divides 47671 without a remainder.

1, 13, 19, 193, 247, 2509, 3667

Step-4: Factors of 47680

List of positive integer factors of 47680 that divides 47671 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 47671 and 47680. The biggest common factor number is the GCF number.
So the greatest common factor 47671 and 47680 is 1.

Also check out the Least Common Multiple of 47671 and 47680