What is the Greatest Common Factor of 47888 and 47903?

Greatest common factor (GCF) of 47888 and 47903 is 1.

GCF(47888,47903) = 1

We will now calculate the prime factors of 47888 and 47903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47888 and 47903.

How to find the GCF of 47888 and 47903?

We will first find the prime factorization of 47888 and 47903. After we will calculate the factors of 47888 and 47903 and find the biggest common factor number .

Step-1: Prime Factorization of 47888

Prime factors of 47888 are 2, 41, 73. Prime factorization of 47888 in exponential form is:

47888 = 2⁴ × 41¹ × 73¹

Step-2: Prime Factorization of 47903

Prime factors of 47903 are 47903. Prime factorization of 47903 in exponential form is:

47903 = 47903¹

Step-3: Factors of 47888

List of positive integer factors of 47888 that divides 47888 without a remainder.

1, 2, 4, 8, 16, 41, 73, 82, 146, 164, 292, 328, 584, 656, 1168, 2993, 5986, 11972, 23944

Step-4: Factors of 47903

List of positive integer factors of 47903 that divides 47888 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47888 and 47903. The biggest common factor number is the GCF number.
So the greatest common factor 47888 and 47903 is 1.

Also check out the Least Common Multiple of 47888 and 47903