What is the Greatest Common Factor of 45243 and 45255?

Greatest common factor (GCF) of 45243 and 45255 is 3.

GCF(45243,45255) = 3

We will now calculate the prime factors of 45243 and 45255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45243 and 45255.

How to find the GCF of 45243 and 45255?

We will first find the prime factorization of 45243 and 45255. After we will calculate the factors of 45243 and 45255 and find the biggest common factor number .

Step-1: Prime Factorization of 45243

Prime factors of 45243 are 3, 11, 457. Prime factorization of 45243 in exponential form is:

45243 = 3² × 11¹ × 457¹

Step-2: Prime Factorization of 45255

Prime factors of 45255 are 3, 5, 7, 431. Prime factorization of 45255 in exponential form is:

45255 = 3¹ × 5¹ × 7¹ × 431¹

Step-3: Factors of 45243

List of positive integer factors of 45243 that divides 45243 without a remainder.

1, 3, 9, 11, 33, 99, 457, 1371, 4113, 5027, 15081

Step-4: Factors of 45255

List of positive integer factors of 45255 that divides 45243 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 431, 1293, 2155, 3017, 6465, 9051, 15085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45243 and 45255. The biggest common factor number is the GCF number.
So the greatest common factor 45243 and 45255 is 3.

Also check out the Least Common Multiple of 45243 and 45255