What is the Greatest Common Factor of 45808 and 45819?

Greatest common factor (GCF) of 45808 and 45819 is 1.

GCF(45808,45819) = 1

We will now calculate the prime factors of 45808 and 45819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45808 and 45819.

How to find the GCF of 45808 and 45819?

We will first find the prime factorization of 45808 and 45819. After we will calculate the factors of 45808 and 45819 and find the biggest common factor number .

Step-1: Prime Factorization of 45808

Prime factors of 45808 are 2, 7, 409. Prime factorization of 45808 in exponential form is:

45808 = 2⁴ × 7¹ × 409¹

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 45808

List of positive integer factors of 45808 that divides 45808 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 409, 818, 1636, 2863, 3272, 5726, 6544, 11452, 22904

Step-4: Factors of 45819

List of positive integer factors of 45819 that divides 45808 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45808 and 45819. The biggest common factor number is the GCF number.
So the greatest common factor 45808 and 45819 is 1.

Also check out the Least Common Multiple of 45808 and 45819