What is the Greatest Common Factor of 46077 and 46089?

Greatest common factor (GCF) of 46077 and 46089 is 3.

GCF(46077,46089) = 3

We will now calculate the prime factors of 46077 and 46089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46077 and 46089.

How to find the GCF of 46077 and 46089?

We will first find the prime factorization of 46077 and 46089. After we will calculate the factors of 46077 and 46089 and find the biggest common factor number .

Step-1: Prime Factorization of 46077

Prime factors of 46077 are 3, 15359. Prime factorization of 46077 in exponential form is:

46077 = 3¹ × 15359¹

Step-2: Prime Factorization of 46089

Prime factors of 46089 are 3, 569. Prime factorization of 46089 in exponential form is:

46089 = 3⁴ × 569¹

Step-3: Factors of 46077

List of positive integer factors of 46077 that divides 46077 without a remainder.

1, 3, 15359

Step-4: Factors of 46089

List of positive integer factors of 46089 that divides 46077 without a remainder.

1, 3, 9, 27, 81, 569, 1707, 5121, 15363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46077 and 46089. The biggest common factor number is the GCF number.
So the greatest common factor 46077 and 46089 is 3.

Also check out the Least Common Multiple of 46077 and 46089