What is the Greatest Common Factor of 45520 and 45536?

Greatest common factor (GCF) of 45520 and 45536 is 16.

GCF(45520,45536) = 16

We will now calculate the prime factors of 45520 and 45536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45520 and 45536.

How to find the GCF of 45520 and 45536?

We will first find the prime factorization of 45520 and 45536. After we will calculate the factors of 45520 and 45536 and find the biggest common factor number .

Step-1: Prime Factorization of 45520

Prime factors of 45520 are 2, 5, 569. Prime factorization of 45520 in exponential form is:

45520 = 2⁴ × 5¹ × 569¹

Step-2: Prime Factorization of 45536

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

45536 = 2⁵ × 1423¹

Step-3: Factors of 45520

List of positive integer factors of 45520 that divides 45520 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 569, 1138, 2276, 2845, 4552, 5690, 9104, 11380, 22760

Step-4: Factors of 45536

List of positive integer factors of 45536 that divides 45520 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45520 and 45536. The biggest common factor number is the GCF number.
So the greatest common factor 45520 and 45536 is 16.

Also check out the Least Common Multiple of 45520 and 45536