What is the Greatest Common Factor of 45321 and 45330?

Greatest common factor (GCF) of 45321 and 45330 is 3.

GCF(45321,45330) = 3

We will now calculate the prime factors of 45321 and 45330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45321 and 45330.

How to find the GCF of 45321 and 45330?

We will first find the prime factorization of 45321 and 45330. After we will calculate the factors of 45321 and 45330 and find the biggest common factor number .

Step-1: Prime Factorization of 45321

Prime factors of 45321 are 3, 15107. Prime factorization of 45321 in exponential form is:

45321 = 3¹ × 15107¹

Step-2: Prime Factorization of 45330

Prime factors of 45330 are 2, 3, 5, 1511. Prime factorization of 45330 in exponential form is:

45330 = 2¹ × 3¹ × 5¹ × 1511¹

Step-3: Factors of 45321

List of positive integer factors of 45321 that divides 45321 without a remainder.

1, 3, 15107

Step-4: Factors of 45330

List of positive integer factors of 45330 that divides 45321 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1511, 3022, 4533, 7555, 9066, 15110, 22665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45321 and 45330. The biggest common factor number is the GCF number.
So the greatest common factor 45321 and 45330 is 3.

Also check out the Least Common Multiple of 45321 and 45330