What is the Greatest Common Factor of 91077 and 91089?

Greatest common factor (GCF) of 91077 and 91089 is 3.

GCF(91077,91089) = 3

We will now calculate the prime factors of 91077 and 91089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91077 and 91089.

How to find the GCF of 91077 and 91089?

We will first find the prime factorization of 91077 and 91089. After we will calculate the factors of 91077 and 91089 and find the biggest common factor number .

Step-1: Prime Factorization of 91077

Prime factors of 91077 are 3, 7, 4337. Prime factorization of 91077 in exponential form is:

91077 = 3¹ × 7¹ × 4337¹

Step-2: Prime Factorization of 91089

Prime factors of 91089 are 3, 29, 349. Prime factorization of 91089 in exponential form is:

91089 = 3² × 29¹ × 349¹

Step-3: Factors of 91077

List of positive integer factors of 91077 that divides 91077 without a remainder.

1, 3, 7, 21, 4337, 13011, 30359

Step-4: Factors of 91089

List of positive integer factors of 91089 that divides 91077 without a remainder.

1, 3, 9, 29, 87, 261, 349, 1047, 3141, 10121, 30363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91077 and 91089. The biggest common factor number is the GCF number.
So the greatest common factor 91077 and 91089 is 3.

Also check out the Least Common Multiple of 91077 and 91089