What is the Greatest Common Factor of 46539 and 46554?

Greatest common factor (GCF) of 46539 and 46554 is 3.

GCF(46539,46554) = 3

We will now calculate the prime factors of 46539 and 46554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46539 and 46554.

How to find the GCF of 46539 and 46554?

We will first find the prime factorization of 46539 and 46554. After we will calculate the factors of 46539 and 46554 and find the biggest common factor number .

Step-1: Prime Factorization of 46539

Prime factors of 46539 are 3, 5171. Prime factorization of 46539 in exponential form is:

46539 = 3² × 5171¹

Step-2: Prime Factorization of 46554

Prime factors of 46554 are 2, 3, 7759. Prime factorization of 46554 in exponential form is:

46554 = 2¹ × 3¹ × 7759¹

Step-3: Factors of 46539

List of positive integer factors of 46539 that divides 46539 without a remainder.

1, 3, 9, 5171, 15513

Step-4: Factors of 46554

List of positive integer factors of 46554 that divides 46539 without a remainder.

1, 2, 3, 6, 7759, 15518, 23277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46539 and 46554. The biggest common factor number is the GCF number.
So the greatest common factor 46539 and 46554 is 3.

Also check out the Least Common Multiple of 46539 and 46554