What is the Greatest Common Factor of 8874 and 8893?

Greatest common factor (GCF) of 8874 and 8893 is 1.

GCF(8874,8893) = 1

We will now calculate the prime factors of 8874 and 8893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8874 and 8893.

How to find the GCF of 8874 and 8893?

We will first find the prime factorization of 8874 and 8893. After we will calculate the factors of 8874 and 8893 and find the biggest common factor number .

Step-1: Prime Factorization of 8874

Prime factors of 8874 are 2, 3, 17, 29. Prime factorization of 8874 in exponential form is:

8874 = 2¹ × 3² × 17¹ × 29¹

Step-2: Prime Factorization of 8893

Prime factors of 8893 are 8893. Prime factorization of 8893 in exponential form is:

8893 = 8893¹

Step-3: Factors of 8874

List of positive integer factors of 8874 that divides 8874 without a remainder.

1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437

Step-4: Factors of 8893

List of positive integer factors of 8893 that divides 8874 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8874 and 8893. The biggest common factor number is the GCF number.
So the greatest common factor 8874 and 8893 is 1.

Also check out the Least Common Multiple of 8874 and 8893