What is the Greatest Common Factor of 45366 and 45379?

Greatest common factor (GCF) of 45366 and 45379 is 1.

GCF(45366,45379) = 1

We will now calculate the prime factors of 45366 and 45379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45366 and 45379.

How to find the GCF of 45366 and 45379?

We will first find the prime factorization of 45366 and 45379. After we will calculate the factors of 45366 and 45379 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45379

Prime factors of 45379 are 23, 1973. Prime factorization of 45379 in exponential form is:

45379 = 23¹ × 1973¹

Step-3: Factors of 45366

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

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

Step-4: Factors of 45379

List of positive integer factors of 45379 that divides 45366 without a remainder.

1, 23, 1973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45366 and 45379. The biggest common factor number is the GCF number.
So the greatest common factor 45366 and 45379 is 1.

Also check out the Least Common Multiple of 45366 and 45379