What is the Greatest Common Factor of 47211 and 47219?

Greatest common factor (GCF) of 47211 and 47219 is 1.

GCF(47211,47219) = 1

We will now calculate the prime factors of 47211 and 47219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47211 and 47219.

How to find the GCF of 47211 and 47219?

We will first find the prime factorization of 47211 and 47219. After we will calculate the factors of 47211 and 47219 and find the biggest common factor number .

Step-1: Prime Factorization of 47211

Prime factors of 47211 are 3, 15737. Prime factorization of 47211 in exponential form is:

47211 = 3¹ × 15737¹

Step-2: Prime Factorization of 47219

Prime factors of 47219 are 23, 2053. Prime factorization of 47219 in exponential form is:

47219 = 23¹ × 2053¹

Step-3: Factors of 47211

List of positive integer factors of 47211 that divides 47211 without a remainder.

1, 3, 15737

Step-4: Factors of 47219

List of positive integer factors of 47219 that divides 47211 without a remainder.

1, 23, 2053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47211 and 47219. The biggest common factor number is the GCF number.
So the greatest common factor 47211 and 47219 is 1.

Also check out the Least Common Multiple of 47211 and 47219