What is the Greatest Common Factor of 45819 and 45831?

Greatest common factor (GCF) of 45819 and 45831 is 3.

GCF(45819,45831) = 3

We will now calculate the prime factors of 45819 and 45831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45819 and 45831.

How to find the GCF of 45819 and 45831?

We will first find the prime factorization of 45819 and 45831. After we will calculate the factors of 45819 and 45831 and find the biggest common factor number .

Step-1: Prime Factorization of 45819

Prime factors of 45819 are 3, 1697. Prime factorization of 45819 in exponential form is:

45819 = 3³ × 1697¹

Step-2: Prime Factorization of 45831

Prime factors of 45831 are 3, 15277. Prime factorization of 45831 in exponential form is:

45831 = 3¹ × 15277¹

Step-3: Factors of 45819

List of positive integer factors of 45819 that divides 45819 without a remainder.

1, 3, 9, 27, 1697, 5091, 15273

Step-4: Factors of 45831

List of positive integer factors of 45831 that divides 45819 without a remainder.

1, 3, 15277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45819 and 45831. The biggest common factor number is the GCF number.
So the greatest common factor 45819 and 45831 is 3.

Also check out the Least Common Multiple of 45819 and 45831