What is the Greatest Common Factor of 46845 and 46851?

Greatest common factor (GCF) of 46845 and 46851 is 3.

GCF(46845,46851) = 3

We will now calculate the prime factors of 46845 and 46851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46845 and 46851.

How to find the GCF of 46845 and 46851?

We will first find the prime factorization of 46845 and 46851. After we will calculate the factors of 46845 and 46851 and find the biggest common factor number .

Step-1: Prime Factorization of 46845

Prime factors of 46845 are 3, 5, 347. Prime factorization of 46845 in exponential form is:

46845 = 3³ × 5¹ × 347¹

Step-2: Prime Factorization of 46851

Prime factors of 46851 are 3, 7, 23, 97. Prime factorization of 46851 in exponential form is:

46851 = 3¹ × 7¹ × 23¹ × 97¹

Step-3: Factors of 46845

List of positive integer factors of 46845 that divides 46845 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 347, 1041, 1735, 3123, 5205, 9369, 15615

Step-4: Factors of 46851

List of positive integer factors of 46851 that divides 46845 without a remainder.

1, 3, 7, 21, 23, 69, 97, 161, 291, 483, 679, 2037, 2231, 6693, 15617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46845 and 46851. The biggest common factor number is the GCF number.
So the greatest common factor 46845 and 46851 is 3.

Also check out the Least Common Multiple of 46845 and 46851