What is the Greatest Common Factor of 45522 and 45536?

Greatest common factor (GCF) of 45522 and 45536 is 2.

GCF(45522,45536) = 2

We will now calculate the prime factors of 45522 and 45536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45522 and 45536.

How to find the GCF of 45522 and 45536?

We will first find the prime factorization of 45522 and 45536. After we will calculate the factors of 45522 and 45536 and find the biggest common factor number .

Step-1: Prime Factorization of 45522

Prime factors of 45522 are 2, 3, 281. Prime factorization of 45522 in exponential form is:

45522 = 2¹ × 3⁴ × 281¹

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 45522

List of positive integer factors of 45522 that divides 45522 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 281, 562, 843, 1686, 2529, 5058, 7587, 15174, 22761

Step-4: Factors of 45536

List of positive integer factors of 45536 that divides 45522 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 45522 and 45536. The biggest common factor number is the GCF number.
So the greatest common factor 45522 and 45536 is 2.

Also check out the Least Common Multiple of 45522 and 45536