What is the Greatest Common Factor of 47188 and 47200?

Greatest common factor (GCF) of 47188 and 47200 is 4.

GCF(47188,47200) = 4

We will now calculate the prime factors of 47188 and 47200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47188 and 47200.

How to find the GCF of 47188 and 47200?

We will first find the prime factorization of 47188 and 47200. After we will calculate the factors of 47188 and 47200 and find the biggest common factor number .

Step-1: Prime Factorization of 47188

Prime factors of 47188 are 2, 47, 251. Prime factorization of 47188 in exponential form is:

47188 = 2² × 47¹ × 251¹

Step-2: 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-3: Factors of 47188

List of positive integer factors of 47188 that divides 47188 without a remainder.

1, 2, 4, 47, 94, 188, 251, 502, 1004, 11797, 23594

Step-4: Factors of 47200

List of positive integer factors of 47200 that divides 47188 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47188 and 47200. The biggest common factor number is the GCF number.
So the greatest common factor 47188 and 47200 is 4.

Also check out the Least Common Multiple of 47188 and 47200