What is the Greatest Common Factor of 93338 and 93344?

Greatest common factor (GCF) of 93338 and 93344 is 2.

GCF(93338,93344) = 2

We will now calculate the prime factors of 93338 and 93344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93338 and 93344.

How to find the GCF of 93338 and 93344?

We will first find the prime factorization of 93338 and 93344. After we will calculate the factors of 93338 and 93344 and find the biggest common factor number .

Step-1: Prime Factorization of 93338

Prime factors of 93338 are 2, 7, 59, 113. Prime factorization of 93338 in exponential form is:

93338 = 2¹ × 7¹ × 59¹ × 113¹

Step-2: Prime Factorization of 93344

Prime factors of 93344 are 2, 2917. Prime factorization of 93344 in exponential form is:

93344 = 2⁵ × 2917¹

Step-3: Factors of 93338

List of positive integer factors of 93338 that divides 93338 without a remainder.

1, 2, 7, 14, 59, 113, 118, 226, 413, 791, 826, 1582, 6667, 13334, 46669

Step-4: Factors of 93344

List of positive integer factors of 93344 that divides 93338 without a remainder.

1, 2, 4, 8, 16, 32, 2917, 5834, 11668, 23336, 46672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93338 and 93344. The biggest common factor number is the GCF number.
So the greatest common factor 93338 and 93344 is 2.

Also check out the Least Common Multiple of 93338 and 93344