What is the Greatest Common Factor of 45573 and 45582?

Greatest common factor (GCF) of 45573 and 45582 is 3.

GCF(45573,45582) = 3

We will now calculate the prime factors of 45573 and 45582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45573 and 45582.

How to find the GCF of 45573 and 45582?

We will first find the prime factorization of 45573 and 45582. After we will calculate the factors of 45573 and 45582 and find the biggest common factor number .

Step-1: Prime Factorization of 45573

Prime factors of 45573 are 3, 11, 1381. Prime factorization of 45573 in exponential form is:

45573 = 3¹ × 11¹ × 1381¹

Step-2: Prime Factorization of 45582

Prime factors of 45582 are 2, 3, 71, 107. Prime factorization of 45582 in exponential form is:

45582 = 2¹ × 3¹ × 71¹ × 107¹

Step-3: Factors of 45573

List of positive integer factors of 45573 that divides 45573 without a remainder.

1, 3, 11, 33, 1381, 4143, 15191

Step-4: Factors of 45582

List of positive integer factors of 45582 that divides 45573 without a remainder.

1, 2, 3, 6, 71, 107, 142, 213, 214, 321, 426, 642, 7597, 15194, 22791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45573 and 45582. The biggest common factor number is the GCF number.
So the greatest common factor 45573 and 45582 is 3.

Also check out the Least Common Multiple of 45573 and 45582