What is the Greatest Common Factor of 46491 and 46506?

Greatest common factor (GCF) of 46491 and 46506 is 3.

GCF(46491,46506) = 3

We will now calculate the prime factors of 46491 and 46506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46491 and 46506.

How to find the GCF of 46491 and 46506?

We will first find the prime factorization of 46491 and 46506. After we will calculate the factors of 46491 and 46506 and find the biggest common factor number .

Step-1: Prime Factorization of 46491

Prime factors of 46491 are 3, 15497. Prime factorization of 46491 in exponential form is:

46491 = 3¹ × 15497¹

Step-2: Prime Factorization of 46506

Prime factors of 46506 are 2, 3, 23, 337. Prime factorization of 46506 in exponential form is:

46506 = 2¹ × 3¹ × 23¹ × 337¹

Step-3: Factors of 46491

List of positive integer factors of 46491 that divides 46491 without a remainder.

1, 3, 15497

Step-4: Factors of 46506

List of positive integer factors of 46506 that divides 46491 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 337, 674, 1011, 2022, 7751, 15502, 23253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46491 and 46506. The biggest common factor number is the GCF number.
So the greatest common factor 46491 and 46506 is 3.

Also check out the Least Common Multiple of 46491 and 46506