What is the Greatest Common Factor of 45376 and 45382?

Greatest common factor (GCF) of 45376 and 45382 is 2.

GCF(45376,45382) = 2

We will now calculate the prime factors of 45376 and 45382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45376 and 45382.

How to find the GCF of 45376 and 45382?

We will first find the prime factorization of 45376 and 45382. After we will calculate the factors of 45376 and 45382 and find the biggest common factor number .

Step-1: Prime Factorization of 45376

Prime factors of 45376 are 2, 709. Prime factorization of 45376 in exponential form is:

45376 = 2⁶ × 709¹

Step-2: Prime Factorization of 45382

Prime factors of 45382 are 2, 22691. Prime factorization of 45382 in exponential form is:

45382 = 2¹ × 22691¹

Step-3: Factors of 45376

List of positive integer factors of 45376 that divides 45376 without a remainder.

1, 2, 4, 8, 16, 32, 64, 709, 1418, 2836, 5672, 11344, 22688

Step-4: Factors of 45382

List of positive integer factors of 45382 that divides 45376 without a remainder.

1, 2, 22691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45376 and 45382. The biggest common factor number is the GCF number.
So the greatest common factor 45376 and 45382 is 2.

Also check out the Least Common Multiple of 45376 and 45382