What is the Greatest Common Factor of 45348 and 45363?

Greatest common factor (GCF) of 45348 and 45363 is 3.

GCF(45348,45363) = 3

We will now calculate the prime factors of 45348 and 45363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45348 and 45363.

How to find the GCF of 45348 and 45363?

We will first find the prime factorization of 45348 and 45363. After we will calculate the factors of 45348 and 45363 and find the biggest common factor number .

Step-1: Prime Factorization of 45348

Prime factors of 45348 are 2, 3, 3779. Prime factorization of 45348 in exponential form is:

45348 = 2² × 3¹ × 3779¹

Step-2: Prime Factorization of 45363

Prime factors of 45363 are 3, 15121. Prime factorization of 45363 in exponential form is:

45363 = 3¹ × 15121¹

Step-3: Factors of 45348

List of positive integer factors of 45348 that divides 45348 without a remainder.

1, 2, 3, 4, 6, 12, 3779, 7558, 11337, 15116, 22674

Step-4: Factors of 45363

List of positive integer factors of 45363 that divides 45348 without a remainder.

1, 3, 15121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45348 and 45363. The biggest common factor number is the GCF number.
So the greatest common factor 45348 and 45363 is 3.

Also check out the Least Common Multiple of 45348 and 45363