What is the Greatest Common Factor of 89043 and 89061?

Greatest common factor (GCF) of 89043 and 89061 is 3.

GCF(89043,89061) = 3

We will now calculate the prime factors of 89043 and 89061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89043 and 89061.

How to find the GCF of 89043 and 89061?

We will first find the prime factorization of 89043 and 89061. After we will calculate the factors of 89043 and 89061 and find the biggest common factor number .

Step-1: Prime Factorization of 89043

Prime factors of 89043 are 3, 67, 443. Prime factorization of 89043 in exponential form is:

89043 = 3¹ × 67¹ × 443¹

Step-2: Prime Factorization of 89061

Prime factors of 89061 are 3, 7, 4241. Prime factorization of 89061 in exponential form is:

89061 = 3¹ × 7¹ × 4241¹

Step-3: Factors of 89043

List of positive integer factors of 89043 that divides 89043 without a remainder.

1, 3, 67, 201, 443, 1329, 29681

Step-4: Factors of 89061

List of positive integer factors of 89061 that divides 89043 without a remainder.

1, 3, 7, 21, 4241, 12723, 29687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89043 and 89061. The biggest common factor number is the GCF number.
So the greatest common factor 89043 and 89061 is 3.

Also check out the Least Common Multiple of 89043 and 89061