What is the Greatest Common Factor of 46089 and 46104?

Greatest common factor (GCF) of 46089 and 46104 is 3.

GCF(46089,46104) = 3

We will now calculate the prime factors of 46089 and 46104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46089 and 46104.

How to find the GCF of 46089 and 46104?

We will first find the prime factorization of 46089 and 46104. After we will calculate the factors of 46089 and 46104 and find the biggest common factor number .

Step-1: Prime Factorization of 46089

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

46089 = 3⁴ × 569¹

Step-2: Prime Factorization of 46104

Prime factors of 46104 are 2, 3, 17, 113. Prime factorization of 46104 in exponential form is:

46104 = 2³ × 3¹ × 17¹ × 113¹

Step-3: Factors of 46089

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

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

Step-4: Factors of 46104

List of positive integer factors of 46104 that divides 46089 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 113, 136, 204, 226, 339, 408, 452, 678, 904, 1356, 1921, 2712, 3842, 5763, 7684, 11526, 15368, 23052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46089 and 46104. The biggest common factor number is the GCF number.
So the greatest common factor 46089 and 46104 is 3.

Also check out the Least Common Multiple of 46089 and 46104