What is the Greatest Common Factor of 47882 and 47888?

Greatest common factor (GCF) of 47882 and 47888 is 2.

GCF(47882,47888) = 2

We will now calculate the prime factors of 47882 and 47888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47882 and 47888.

How to find the GCF of 47882 and 47888?

We will first find the prime factorization of 47882 and 47888. After we will calculate the factors of 47882 and 47888 and find the biggest common factor number .

Step-1: Prime Factorization of 47882

Prime factors of 47882 are 2, 89, 269. Prime factorization of 47882 in exponential form is:

47882 = 2¹ × 89¹ × 269¹

Step-2: 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-3: Factors of 47882

List of positive integer factors of 47882 that divides 47882 without a remainder.

1, 2, 89, 178, 269, 538, 23941

Step-4: Factors of 47888

List of positive integer factors of 47888 that divides 47882 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47882 and 47888. The biggest common factor number is the GCF number.
So the greatest common factor 47882 and 47888 is 2.

Also check out the Least Common Multiple of 47882 and 47888