What is the Greatest Common Factor of 47670 and 47683?

Greatest common factor (GCF) of 47670 and 47683 is 1.

GCF(47670,47683) = 1

We will now calculate the prime factors of 47670 and 47683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47670 and 47683.

How to find the GCF of 47670 and 47683?

We will first find the prime factorization of 47670 and 47683. After we will calculate the factors of 47670 and 47683 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 47683

Prime factors of 47683 are 41, 1163. Prime factorization of 47683 in exponential form is:

47683 = 41¹ × 1163¹

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 47683

List of positive integer factors of 47683 that divides 47670 without a remainder.

1, 41, 1163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47670 and 47683. The biggest common factor number is the GCF number.
So the greatest common factor 47670 and 47683 is 1.

Also check out the Least Common Multiple of 47670 and 47683