What is the Greatest Common Factor of 89913 and 89921?

Greatest common factor (GCF) of 89913 and 89921 is 1.

GCF(89913,89921) = 1

We will now calculate the prime factors of 89913 and 89921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89913 and 89921.

How to find the GCF of 89913 and 89921?

We will first find the prime factorization of 89913 and 89921. After we will calculate the factors of 89913 and 89921 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89921

Prime factors of 89921 are 13, 6917. Prime factorization of 89921 in exponential form is:

89921 = 13¹ × 6917¹

Step-3: Factors of 89913

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

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

Step-4: Factors of 89921

List of positive integer factors of 89921 that divides 89913 without a remainder.

1, 13, 6917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89913 and 89921. The biggest common factor number is the GCF number.
So the greatest common factor 89913 and 89921 is 1.

Also check out the Least Common Multiple of 89913 and 89921