What is the Greatest Common Factor of 47468 and 47474?

Greatest common factor (GCF) of 47468 and 47474 is 2.

GCF(47468,47474) = 2

We will now calculate the prime factors of 47468 and 47474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47468 and 47474.

How to find the GCF of 47468 and 47474?

We will first find the prime factorization of 47468 and 47474. After we will calculate the factors of 47468 and 47474 and find the biggest common factor number .

Step-1: Prime Factorization of 47468

Prime factors of 47468 are 2, 11867. Prime factorization of 47468 in exponential form is:

47468 = 2² × 11867¹

Step-2: Prime Factorization of 47474

Prime factors of 47474 are 2, 7, 3391. Prime factorization of 47474 in exponential form is:

47474 = 2¹ × 7¹ × 3391¹

Step-3: Factors of 47468

List of positive integer factors of 47468 that divides 47468 without a remainder.

1, 2, 4, 11867, 23734

Step-4: Factors of 47474

List of positive integer factors of 47474 that divides 47468 without a remainder.

1, 2, 7, 14, 3391, 6782, 23737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47468 and 47474. The biggest common factor number is the GCF number.
So the greatest common factor 47468 and 47474 is 2.

Also check out the Least Common Multiple of 47468 and 47474