What is the Greatest Common Factor of 89049 and 89067?

Greatest common factor (GCF) of 89049 and 89067 is 3.

GCF(89049,89067) = 3

We will now calculate the prime factors of 89049 and 89067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89049 and 89067.

How to find the GCF of 89049 and 89067?

We will first find the prime factorization of 89049 and 89067. After we will calculate the factors of 89049 and 89067 and find the biggest common factor number .

Step-1: Prime Factorization of 89049

Prime factors of 89049 are 3, 29683. Prime factorization of 89049 in exponential form is:

89049 = 3¹ × 29683¹

Step-2: Prime Factorization of 89067

Prime factors of 89067 are 3, 11, 2699. Prime factorization of 89067 in exponential form is:

89067 = 3¹ × 11¹ × 2699¹

Step-3: Factors of 89049

List of positive integer factors of 89049 that divides 89049 without a remainder.

1, 3, 29683

Step-4: Factors of 89067

List of positive integer factors of 89067 that divides 89049 without a remainder.

1, 3, 11, 33, 2699, 8097, 29689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89049 and 89067. The biggest common factor number is the GCF number.
So the greatest common factor 89049 and 89067 is 3.

Also check out the Least Common Multiple of 89049 and 89067