What is the Greatest Common Factor of 47200 and 47219?

Greatest common factor (GCF) of 47200 and 47219 is 1.

GCF(47200,47219) = 1

We will now calculate the prime factors of 47200 and 47219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47200 and 47219.

How to find the GCF of 47200 and 47219?

We will first find the prime factorization of 47200 and 47219. After we will calculate the factors of 47200 and 47219 and find the biggest common factor number .

Step-1: Prime Factorization of 47200

Prime factors of 47200 are 2, 5, 59. Prime factorization of 47200 in exponential form is:

47200 = 2⁵ × 5² × 59¹

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 47200

List of positive integer factors of 47200 that divides 47200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 59, 80, 100, 118, 160, 200, 236, 295, 400, 472, 590, 800, 944, 1180, 1475, 1888, 2360, 2950, 4720, 5900, 9440, 11800, 23600

Step-4: Factors of 47219

List of positive integer factors of 47219 that divides 47200 without a remainder.

1, 23, 2053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47200 and 47219. The biggest common factor number is the GCF number.
So the greatest common factor 47200 and 47219 is 1.

Also check out the Least Common Multiple of 47200 and 47219