What is the Greatest Common Factor of 89895 and 89913?

Greatest common factor (GCF) of 89895 and 89913 is 3.

GCF(89895,89913) = 3

We will now calculate the prime factors of 89895 and 89913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89895 and 89913.

How to find the GCF of 89895 and 89913?

We will first find the prime factorization of 89895 and 89913. After we will calculate the factors of 89895 and 89913 and find the biggest common factor number .

Step-1: Prime Factorization of 89895

Prime factors of 89895 are 3, 5, 13, 461. Prime factorization of 89895 in exponential form is:

89895 = 3¹ × 5¹ × 13¹ × 461¹

Step-2: Prime Factorization of 89913

Prime factors of 89913 are 3, 17, 41, 43. Prime factorization of 89913 in exponential form is:

89913 = 3¹ × 17¹ × 41¹ × 43¹

Step-3: Factors of 89895

List of positive integer factors of 89895 that divides 89895 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 461, 1383, 2305, 5993, 6915, 17979, 29965

Step-4: Factors of 89913

List of positive integer factors of 89913 that divides 89895 without a remainder.

1, 3, 17, 41, 43, 51, 123, 129, 697, 731, 1763, 2091, 2193, 5289, 29971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89895 and 89913. The biggest common factor number is the GCF number.
So the greatest common factor 89895 and 89913 is 3.

Also check out the Least Common Multiple of 89895 and 89913