What is the Greatest Common Factor of 45768 and 45782?

Greatest common factor (GCF) of 45768 and 45782 is 2.

GCF(45768,45782) = 2

We will now calculate the prime factors of 45768 and 45782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45768 and 45782.

How to find the GCF of 45768 and 45782?

We will first find the prime factorization of 45768 and 45782. After we will calculate the factors of 45768 and 45782 and find the biggest common factor number .

Step-1: Prime Factorization of 45768

Prime factors of 45768 are 2, 3, 1907. Prime factorization of 45768 in exponential form is:

45768 = 2³ × 3¹ × 1907¹

Step-2: 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-3: Factors of 45768

List of positive integer factors of 45768 that divides 45768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1907, 3814, 5721, 7628, 11442, 15256, 22884

Step-4: Factors of 45782

List of positive integer factors of 45782 that divides 45768 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45768 and 45782. The biggest common factor number is the GCF number.
So the greatest common factor 45768 and 45782 is 2.

Also check out the Least Common Multiple of 45768 and 45782