What is the Greatest Common Factor of 47854 and 47872?

Greatest common factor (GCF) of 47854 and 47872 is 2.

GCF(47854,47872) = 2

We will now calculate the prime factors of 47854 and 47872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47854 and 47872.

How to find the GCF of 47854 and 47872?

We will first find the prime factorization of 47854 and 47872. After we will calculate the factors of 47854 and 47872 and find the biggest common factor number .

Step-1: Prime Factorization of 47854

Prime factors of 47854 are 2, 71, 337. Prime factorization of 47854 in exponential form is:

47854 = 2¹ × 71¹ × 337¹

Step-2: 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-3: Factors of 47854

List of positive integer factors of 47854 that divides 47854 without a remainder.

1, 2, 71, 142, 337, 674, 23927

Step-4: Factors of 47872

List of positive integer factors of 47872 that divides 47854 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47854 and 47872. The biggest common factor number is the GCF number.
So the greatest common factor 47854 and 47872 is 2.

Also check out the Least Common Multiple of 47854 and 47872