What is the Greatest Common Factor of 50848 and 50864?

Greatest common factor (GCF) of 50848 and 50864 is 16.

GCF(50848,50864) = 16

We will now calculate the prime factors of 50848 and 50864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50848 and 50864.

How to find the GCF of 50848 and 50864?

We will first find the prime factorization of 50848 and 50864. After we will calculate the factors of 50848 and 50864 and find the biggest common factor number .

Step-1: Prime Factorization of 50848

Prime factors of 50848 are 2, 7, 227. Prime factorization of 50848 in exponential form is:

50848 = 2⁵ × 7¹ × 227¹

Step-2: Prime Factorization of 50864

Prime factors of 50864 are 2, 11, 17. Prime factorization of 50864 in exponential form is:

50864 = 2⁴ × 11¹ × 17²

Step-3: Factors of 50848

List of positive integer factors of 50848 that divides 50848 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 227, 454, 908, 1589, 1816, 3178, 3632, 6356, 7264, 12712, 25424

Step-4: Factors of 50864

List of positive integer factors of 50864 that divides 50848 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 289, 374, 578, 748, 1156, 1496, 2312, 2992, 3179, 4624, 6358, 12716, 25432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50848 and 50864. The biggest common factor number is the GCF number.
So the greatest common factor 50848 and 50864 is 16.

Also check out the Least Common Multiple of 50848 and 50864