What is the Greatest Common Factor of 92944 and 92950?

Greatest common factor (GCF) of 92944 and 92950 is 2.

GCF(92944,92950) = 2

We will now calculate the prime factors of 92944 and 92950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92944 and 92950.

How to find the GCF of 92944 and 92950?

We will first find the prime factorization of 92944 and 92950. After we will calculate the factors of 92944 and 92950 and find the biggest common factor number .

Step-1: Prime Factorization of 92944

Prime factors of 92944 are 2, 37, 157. Prime factorization of 92944 in exponential form is:

92944 = 2⁴ × 37¹ × 157¹

Step-2: Prime Factorization of 92950

Prime factors of 92950 are 2, 5, 11, 13. Prime factorization of 92950 in exponential form is:

92950 = 2¹ × 5² × 11¹ × 13²

Step-3: Factors of 92944

List of positive integer factors of 92944 that divides 92944 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 157, 296, 314, 592, 628, 1256, 2512, 5809, 11618, 23236, 46472

Step-4: Factors of 92950

List of positive integer factors of 92950 that divides 92944 without a remainder.

1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 169, 275, 286, 325, 338, 550, 650, 715, 845, 1430, 1690, 1859, 3575, 3718, 4225, 7150, 8450, 9295, 18590, 46475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92944 and 92950. The biggest common factor number is the GCF number.
So the greatest common factor 92944 and 92950 is 2.

Also check out the Least Common Multiple of 92944 and 92950