What is the Greatest Common Factor of 47670 and 47680?

Greatest common factor (GCF) of 47670 and 47680 is 10.

GCF(47670,47680) = 10

We will now calculate the prime factors of 47670 and 47680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47670 and 47680.

How to find the GCF of 47670 and 47680?

We will first find the prime factorization of 47670 and 47680. After we will calculate the factors of 47670 and 47680 and find the biggest common factor number .

Step-1: Prime Factorization of 47670

Prime factors of 47670 are 2, 3, 5, 7, 227. Prime factorization of 47670 in exponential form is:

47670 = 2¹ × 3¹ × 5¹ × 7¹ × 227¹

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 47670

List of positive integer factors of 47670 that divides 47670 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 227, 454, 681, 1135, 1362, 1589, 2270, 3178, 3405, 4767, 6810, 7945, 9534, 15890, 23835

Step-4: Factors of 47680

List of positive integer factors of 47680 that divides 47670 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 47670 and 47680. The biggest common factor number is the GCF number.
So the greatest common factor 47670 and 47680 is 10.

Also check out the Least Common Multiple of 47670 and 47680