What is the Greatest Common Factor of 47872 and 47888?

Greatest common factor (GCF) of 47872 and 47888 is 16.

GCF(47872,47888) = 16

We will now calculate the prime factors of 47872 and 47888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47872 and 47888.

How to find the GCF of 47872 and 47888?

We will first find the prime factorization of 47872 and 47888. After we will calculate the factors of 47872 and 47888 and find the biggest common factor number .

Step-1: Prime Factorization of 47872

Prime factors of 47872 are 2, 11, 17. Prime factorization of 47872 in exponential form is:

47872 = 2⁸ × 11¹ × 17¹

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 47872

List of positive integer factors of 47872 that divides 47872 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 64, 68, 88, 128, 136, 176, 187, 256, 272, 352, 374, 544, 704, 748, 1088, 1408, 1496, 2176, 2816, 2992, 4352, 5984, 11968, 23936

Step-4: Factors of 47888

List of positive integer factors of 47888 that divides 47872 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 47872 and 47888. The biggest common factor number is the GCF number.
So the greatest common factor 47872 and 47888 is 16.

Also check out the Least Common Multiple of 47872 and 47888