What is the Greatest Common Factor of 93874 and 93891?

Greatest common factor (GCF) of 93874 and 93891 is 17.

GCF(93874,93891) = 17

We will now calculate the prime factors of 93874 and 93891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93874 and 93891.

How to find the GCF of 93874 and 93891?

We will first find the prime factorization of 93874 and 93891. After we will calculate the factors of 93874 and 93891 and find the biggest common factor number .

Step-1: Prime Factorization of 93874

Prime factors of 93874 are 2, 11, 17, 251. Prime factorization of 93874 in exponential form is:

93874 = 2¹ × 11¹ × 17¹ × 251¹

Step-2: Prime Factorization of 93891

Prime factors of 93891 are 3, 7, 17, 263. Prime factorization of 93891 in exponential form is:

93891 = 3¹ × 7¹ × 17¹ × 263¹

Step-3: Factors of 93874

List of positive integer factors of 93874 that divides 93874 without a remainder.

1, 2, 11, 17, 22, 34, 187, 251, 374, 502, 2761, 4267, 5522, 8534, 46937

Step-4: Factors of 93891

List of positive integer factors of 93891 that divides 93874 without a remainder.

1, 3, 7, 17, 21, 51, 119, 263, 357, 789, 1841, 4471, 5523, 13413, 31297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93874 and 93891. The biggest common factor number is the GCF number.
So the greatest common factor 93874 and 93891 is 17.

Also check out the Least Common Multiple of 93874 and 93891