What is the Greatest Common Factor of 45782 and 45798?

Greatest common factor (GCF) of 45782 and 45798 is 2.

GCF(45782,45798) = 2

We will now calculate the prime factors of 45782 and 45798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45782 and 45798.

How to find the GCF of 45782 and 45798?

We will first find the prime factorization of 45782 and 45798. After we will calculate the factors of 45782 and 45798 and find the biggest common factor number .

Step-1: Prime Factorization of 45782

Prime factors of 45782 are 2, 11, 2081. Prime factorization of 45782 in exponential form is:

45782 = 2¹ × 11¹ × 2081¹

Step-2: Prime Factorization of 45798

Prime factors of 45798 are 2, 3, 17, 449. Prime factorization of 45798 in exponential form is:

45798 = 2¹ × 3¹ × 17¹ × 449¹

Step-3: Factors of 45782

List of positive integer factors of 45782 that divides 45782 without a remainder.

1, 2, 11, 22, 2081, 4162, 22891

Step-4: Factors of 45798

List of positive integer factors of 45798 that divides 45782 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 449, 898, 1347, 2694, 7633, 15266, 22899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45782 and 45798. The biggest common factor number is the GCF number.
So the greatest common factor 45782 and 45798 is 2.

Also check out the Least Common Multiple of 45782 and 45798