What is the Greatest Common Factor of 45456 and 45472?

Greatest common factor (GCF) of 45456 and 45472 is 16.

GCF(45456,45472) = 16

We will now calculate the prime factors of 45456 and 45472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45456 and 45472.

How to find the GCF of 45456 and 45472?

We will first find the prime factorization of 45456 and 45472. After we will calculate the factors of 45456 and 45472 and find the biggest common factor number .

Step-1: Prime Factorization of 45456

Prime factors of 45456 are 2, 3, 947. Prime factorization of 45456 in exponential form is:

45456 = 2⁴ × 3¹ × 947¹

Step-2: 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-3: Factors of 45456

List of positive integer factors of 45456 that divides 45456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 947, 1894, 2841, 3788, 5682, 7576, 11364, 15152, 22728

Step-4: Factors of 45472

List of positive integer factors of 45472 that divides 45456 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45456 and 45472. The biggest common factor number is the GCF number.
So the greatest common factor 45456 and 45472 is 16.

Also check out the Least Common Multiple of 45456 and 45472