What is the Greatest Common Factor of 47670 and 47678?

Greatest common factor (GCF) of 47670 and 47678 is 2.

GCF(47670,47678) = 2

We will now calculate the prime factors of 47670 and 47678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47670 and 47678.

How to find the GCF of 47670 and 47678?

We will first find the prime factorization of 47670 and 47678. After we will calculate the factors of 47670 and 47678 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 47678

Prime factors of 47678 are 2, 31, 769. Prime factorization of 47678 in exponential form is:

47678 = 2¹ × 31¹ × 769¹

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 47678

List of positive integer factors of 47678 that divides 47670 without a remainder.

1, 2, 31, 62, 769, 1538, 23839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47670 and 47678. The biggest common factor number is the GCF number.
So the greatest common factor 47670 and 47678 is 2.

Also check out the Least Common Multiple of 47670 and 47678