What is the Greatest Common Factor of 45096 and 45105?

Greatest common factor (GCF) of 45096 and 45105 is 3.

GCF(45096,45105) = 3

We will now calculate the prime factors of 45096 and 45105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45096 and 45105.

How to find the GCF of 45096 and 45105?

We will first find the prime factorization of 45096 and 45105. After we will calculate the factors of 45096 and 45105 and find the biggest common factor number .

Step-1: Prime Factorization of 45096

Prime factors of 45096 are 2, 3, 1879. Prime factorization of 45096 in exponential form is:

45096 = 2³ × 3¹ × 1879¹

Step-2: Prime Factorization of 45105

Prime factors of 45105 are 3, 5, 31, 97. Prime factorization of 45105 in exponential form is:

45105 = 3¹ × 5¹ × 31¹ × 97¹

Step-3: Factors of 45096

List of positive integer factors of 45096 that divides 45096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1879, 3758, 5637, 7516, 11274, 15032, 22548

Step-4: Factors of 45105

List of positive integer factors of 45105 that divides 45096 without a remainder.

1, 3, 5, 15, 31, 93, 97, 155, 291, 465, 485, 1455, 3007, 9021, 15035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45096 and 45105. The biggest common factor number is the GCF number.
So the greatest common factor 45096 and 45105 is 3.

Also check out the Least Common Multiple of 45096 and 45105