What is the Greatest Common Factor of 47364 and 47381?

Greatest common factor (GCF) of 47364 and 47381 is 1.

GCF(47364,47381) = 1

We will now calculate the prime factors of 47364 and 47381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47364 and 47381.

How to find the GCF of 47364 and 47381?

We will first find the prime factorization of 47364 and 47381. After we will calculate the factors of 47364 and 47381 and find the biggest common factor number .

Step-1: Prime Factorization of 47364

Prime factors of 47364 are 2, 3, 3947. Prime factorization of 47364 in exponential form is:

47364 = 2² × 3¹ × 3947¹

Step-2: Prime Factorization of 47381

Prime factors of 47381 are 47381. Prime factorization of 47381 in exponential form is:

47381 = 47381¹

Step-3: Factors of 47364

List of positive integer factors of 47364 that divides 47364 without a remainder.

1, 2, 3, 4, 6, 12, 3947, 7894, 11841, 15788, 23682

Step-4: Factors of 47381

List of positive integer factors of 47381 that divides 47364 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47364 and 47381. The biggest common factor number is the GCF number.
So the greatest common factor 47364 and 47381 is 1.

Also check out the Least Common Multiple of 47364 and 47381