What is the Greatest Common Factor of 89022 and 89027?

Greatest common factor (GCF) of 89022 and 89027 is 1.

GCF(89022,89027) = 1

We will now calculate the prime factors of 89022 and 89027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89022 and 89027.

How to find the GCF of 89022 and 89027?

We will first find the prime factorization of 89022 and 89027. After we will calculate the factors of 89022 and 89027 and find the biggest common factor number .

Step-1: Prime Factorization of 89022

Prime factors of 89022 are 2, 3, 37, 401. Prime factorization of 89022 in exponential form is:

89022 = 2¹ × 3¹ × 37¹ × 401¹

Step-2: Prime Factorization of 89027

Prime factors of 89027 are 127, 701. Prime factorization of 89027 in exponential form is:

89027 = 127¹ × 701¹

Step-3: Factors of 89022

List of positive integer factors of 89022 that divides 89022 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 401, 802, 1203, 2406, 14837, 29674, 44511

Step-4: Factors of 89027

List of positive integer factors of 89027 that divides 89022 without a remainder.

1, 127, 701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89022 and 89027. The biggest common factor number is the GCF number.
So the greatest common factor 89022 and 89027 is 1.

Also check out the Least Common Multiple of 89022 and 89027