What is the Greatest Common Factor of 89869 and 89874?

Greatest common factor (GCF) of 89869 and 89874 is 1.

GCF(89869,89874) = 1

We will now calculate the prime factors of 89869 and 89874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89869 and 89874.

How to find the GCF of 89869 and 89874?

We will first find the prime factorization of 89869 and 89874. After we will calculate the factors of 89869 and 89874 and find the biggest common factor number .

Step-1: Prime Factorization of 89869

Prime factors of 89869 are 13, 31, 223. Prime factorization of 89869 in exponential form is:

89869 = 13¹ × 31¹ × 223¹

Step-2: Prime Factorization of 89874

Prime factors of 89874 are 2, 3, 4993. Prime factorization of 89874 in exponential form is:

89874 = 2¹ × 3² × 4993¹

Step-3: Factors of 89869

List of positive integer factors of 89869 that divides 89869 without a remainder.

1, 13, 31, 223, 403, 2899, 6913

Step-4: Factors of 89874

List of positive integer factors of 89874 that divides 89869 without a remainder.

1, 2, 3, 6, 9, 18, 4993, 9986, 14979, 29958, 44937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89869 and 89874. The biggest common factor number is the GCF number.
So the greatest common factor 89869 and 89874 is 1.

Also check out the Least Common Multiple of 89869 and 89874