What is the Greatest Common Factor of 45369 and 45381?

Greatest common factor (GCF) of 45369 and 45381 is 3.

GCF(45369,45381) = 3

We will now calculate the prime factors of 45369 and 45381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45369 and 45381.

How to find the GCF of 45369 and 45381?

We will first find the prime factorization of 45369 and 45381. After we will calculate the factors of 45369 and 45381 and find the biggest common factor number .

Step-1: Prime Factorization of 45369

Prime factors of 45369 are 3, 71. Prime factorization of 45369 in exponential form is:

45369 = 3² × 71²

Step-2: Prime Factorization of 45381

Prime factors of 45381 are 3, 7, 2161. Prime factorization of 45381 in exponential form is:

45381 = 3¹ × 7¹ × 2161¹

Step-3: Factors of 45369

List of positive integer factors of 45369 that divides 45369 without a remainder.

1, 3, 9, 71, 213, 639, 5041, 15123

Step-4: Factors of 45381

List of positive integer factors of 45381 that divides 45369 without a remainder.

1, 3, 7, 21, 2161, 6483, 15127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45369 and 45381. The biggest common factor number is the GCF number.
So the greatest common factor 45369 and 45381 is 3.

Also check out the Least Common Multiple of 45369 and 45381