What is the Greatest Common Factor of 45536 and 45544?

Greatest common factor (GCF) of 45536 and 45544 is 8.

GCF(45536,45544) = 8

We will now calculate the prime factors of 45536 and 45544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45536 and 45544.

How to find the GCF of 45536 and 45544?

We will first find the prime factorization of 45536 and 45544. After we will calculate the factors of 45536 and 45544 and find the biggest common factor number .

Step-1: Prime Factorization of 45536

Prime factors of 45536 are 2, 1423. Prime factorization of 45536 in exponential form is:

45536 = 2⁵ × 1423¹

Step-2: Prime Factorization of 45544

Prime factors of 45544 are 2, 5693. Prime factorization of 45544 in exponential form is:

45544 = 2³ × 5693¹

Step-3: Factors of 45536

List of positive integer factors of 45536 that divides 45536 without a remainder.

1, 2, 4, 8, 16, 32, 1423, 2846, 5692, 11384, 22768

Step-4: Factors of 45544

List of positive integer factors of 45544 that divides 45536 without a remainder.

1, 2, 4, 8, 5693, 11386, 22772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45536 and 45544. The biggest common factor number is the GCF number.
So the greatest common factor 45536 and 45544 is 8.

Also check out the Least Common Multiple of 45536 and 45544