What is the Greatest Common Factor of 45351 and 45366?

Greatest common factor (GCF) of 45351 and 45366 is 3.

GCF(45351,45366) = 3

We will now calculate the prime factors of 45351 and 45366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45351 and 45366.

How to find the GCF of 45351 and 45366?

We will first find the prime factorization of 45351 and 45366. After we will calculate the factors of 45351 and 45366 and find the biggest common factor number .

Step-1: Prime Factorization of 45351

Prime factors of 45351 are 3, 5039. Prime factorization of 45351 in exponential form is:

45351 = 3² × 5039¹

Step-2: Prime Factorization of 45366

Prime factors of 45366 are 2, 3, 7561. Prime factorization of 45366 in exponential form is:

45366 = 2¹ × 3¹ × 7561¹

Step-3: Factors of 45351

List of positive integer factors of 45351 that divides 45351 without a remainder.

1, 3, 9, 5039, 15117

Step-4: Factors of 45366

List of positive integer factors of 45366 that divides 45351 without a remainder.

1, 2, 3, 6, 7561, 15122, 22683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45351 and 45366. The biggest common factor number is the GCF number.
So the greatest common factor 45351 and 45366 is 3.

Also check out the Least Common Multiple of 45351 and 45366