What is the Greatest Common Factor of 45472 and 45482?

Greatest common factor (GCF) of 45472 and 45482 is 2.

GCF(45472,45482) = 2

We will now calculate the prime factors of 45472 and 45482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45472 and 45482.

How to find the GCF of 45472 and 45482?

We will first find the prime factorization of 45472 and 45482. After we will calculate the factors of 45472 and 45482 and find the biggest common factor number .

Step-1: Prime Factorization of 45472

Prime factors of 45472 are 2, 7, 29. Prime factorization of 45472 in exponential form is:

45472 = 2⁵ × 7² × 29¹

Step-2: Prime Factorization of 45482

Prime factors of 45482 are 2, 22741. Prime factorization of 45482 in exponential form is:

45482 = 2¹ × 22741¹

Step-3: Factors of 45472

List of positive integer factors of 45472 that divides 45472 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 29, 32, 49, 56, 58, 98, 112, 116, 196, 203, 224, 232, 392, 406, 464, 784, 812, 928, 1421, 1568, 1624, 2842, 3248, 5684, 6496, 11368, 22736

Step-4: Factors of 45482

List of positive integer factors of 45482 that divides 45472 without a remainder.

1, 2, 22741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45472 and 45482. The biggest common factor number is the GCF number.
So the greatest common factor 45472 and 45482 is 2.

Also check out the Least Common Multiple of 45472 and 45482