What is the Greatest Common Factor of 45521 and 45536?

Greatest common factor (GCF) of 45521 and 45536 is 1.

GCF(45521,45536) = 1

We will now calculate the prime factors of 45521 and 45536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45521 and 45536.

How to find the GCF of 45521 and 45536?

We will first find the prime factorization of 45521 and 45536. After we will calculate the factors of 45521 and 45536 and find the biggest common factor number .

Step-1: Prime Factorization of 45521

Prime factors of 45521 are 7, 929. Prime factorization of 45521 in exponential form is:

45521 = 7² × 929¹

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 45521

List of positive integer factors of 45521 that divides 45521 without a remainder.

1, 7, 49, 929, 6503

Step-4: Factors of 45536

List of positive integer factors of 45536 that divides 45521 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 45521 and 45536. The biggest common factor number is the GCF number.
So the greatest common factor 45521 and 45536 is 1.

Also check out the Least Common Multiple of 45521 and 45536