What is the Greatest Common Factor of 45522 and 45531?

Greatest common factor (GCF) of 45522 and 45531 is 9.

GCF(45522,45531) = 9

We will now calculate the prime factors of 45522 and 45531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45522 and 45531.

How to find the GCF of 45522 and 45531?

We will first find the prime factorization of 45522 and 45531. After we will calculate the factors of 45522 and 45531 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 45531

Prime factors of 45531 are 3, 5059. Prime factorization of 45531 in exponential form is:

45531 = 3² × 5059¹

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 45531

List of positive integer factors of 45531 that divides 45522 without a remainder.

1, 3, 9, 5059, 15177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45522 and 45531. The biggest common factor number is the GCF number.
So the greatest common factor 45522 and 45531 is 9.

Also check out the Least Common Multiple of 45522 and 45531