What is the Greatest Common Factor of 47200 and 47213?

Greatest common factor (GCF) of 47200 and 47213 is 1.

GCF(47200,47213) = 1

We will now calculate the prime factors of 47200 and 47213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47200 and 47213.

How to find the GCF of 47200 and 47213?

We will first find the prime factorization of 47200 and 47213. After we will calculate the factors of 47200 and 47213 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 47213

Prime factors of 47213 are 31, 1523. Prime factorization of 47213 in exponential form is:

47213 = 31¹ × 1523¹

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 47213

List of positive integer factors of 47213 that divides 47200 without a remainder.

1, 31, 1523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47200 and 47213. The biggest common factor number is the GCF number.
So the greatest common factor 47200 and 47213 is 1.

Also check out the Least Common Multiple of 47200 and 47213