What is the Greatest Common Factor of 45801 and 45819?

Greatest common factor (GCF) of 45801 and 45819 is 9.

GCF(45801,45819) = 9

We will now calculate the prime factors of 45801 and 45819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45801 and 45819.

How to find the GCF of 45801 and 45819?

We will first find the prime factorization of 45801 and 45819. After we will calculate the factors of 45801 and 45819 and find the biggest common factor number .

Step-1: Prime Factorization of 45801

Prime factors of 45801 are 3, 7, 727. Prime factorization of 45801 in exponential form is:

45801 = 3² × 7¹ × 727¹

Step-2: Prime Factorization of 45819

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

45819 = 3³ × 1697¹

Step-3: Factors of 45801

List of positive integer factors of 45801 that divides 45801 without a remainder.

1, 3, 7, 9, 21, 63, 727, 2181, 5089, 6543, 15267

Step-4: Factors of 45819

List of positive integer factors of 45819 that divides 45801 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45801 and 45819. The biggest common factor number is the GCF number.
So the greatest common factor 45801 and 45819 is 9.

Also check out the Least Common Multiple of 45801 and 45819