What is the Greatest Common Factor of 50847 and 50864?

Greatest common factor (GCF) of 50847 and 50864 is 17.

GCF(50847,50864) = 17

We will now calculate the prime factors of 50847 and 50864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50847 and 50864.

How to find the GCF of 50847 and 50864?

We will first find the prime factorization of 50847 and 50864. After we will calculate the factors of 50847 and 50864 and find the biggest common factor number .

Step-1: Prime Factorization of 50847

Prime factors of 50847 are 3, 17, 997. Prime factorization of 50847 in exponential form is:

50847 = 3¹ × 17¹ × 997¹

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 50847

List of positive integer factors of 50847 that divides 50847 without a remainder.

1, 3, 17, 51, 997, 2991, 16949

Step-4: Factors of 50864

List of positive integer factors of 50864 that divides 50847 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 50847 and 50864. The biggest common factor number is the GCF number.
So the greatest common factor 50847 and 50864 is 17.

Also check out the Least Common Multiple of 50847 and 50864