What is the Greatest Common Factor of 45099 and 45114?

Greatest common factor (GCF) of 45099 and 45114 is 3.

GCF(45099,45114) = 3

We will now calculate the prime factors of 45099 and 45114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45099 and 45114.

How to find the GCF of 45099 and 45114?

We will first find the prime factorization of 45099 and 45114. After we will calculate the factors of 45099 and 45114 and find the biggest common factor number .

Step-1: Prime Factorization of 45099

Prime factors of 45099 are 3, 5011. Prime factorization of 45099 in exponential form is:

45099 = 3² × 5011¹

Step-2: Prime Factorization of 45114

Prime factors of 45114 are 2, 3, 73, 103. Prime factorization of 45114 in exponential form is:

45114 = 2¹ × 3¹ × 73¹ × 103¹

Step-3: Factors of 45099

List of positive integer factors of 45099 that divides 45099 without a remainder.

1, 3, 9, 5011, 15033

Step-4: Factors of 45114

List of positive integer factors of 45114 that divides 45099 without a remainder.

1, 2, 3, 6, 73, 103, 146, 206, 219, 309, 438, 618, 7519, 15038, 22557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45099 and 45114. The biggest common factor number is the GCF number.
So the greatest common factor 45099 and 45114 is 3.

Also check out the Least Common Multiple of 45099 and 45114