What is the Greatest Common Factor of 45054 and 45058?

Greatest common factor (GCF) of 45054 and 45058 is 2.

GCF(45054,45058) = 2

We will now calculate the prime factors of 45054 and 45058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45054 and 45058.

How to find the GCF of 45054 and 45058?

We will first find the prime factorization of 45054 and 45058. After we will calculate the factors of 45054 and 45058 and find the biggest common factor number .

Step-1: Prime Factorization of 45054

Prime factors of 45054 are 2, 3, 2503. Prime factorization of 45054 in exponential form is:

45054 = 2¹ × 3² × 2503¹

Step-2: Prime Factorization of 45058

Prime factors of 45058 are 2, 13, 1733. Prime factorization of 45058 in exponential form is:

45058 = 2¹ × 13¹ × 1733¹

Step-3: Factors of 45054

List of positive integer factors of 45054 that divides 45054 without a remainder.

1, 2, 3, 6, 9, 18, 2503, 5006, 7509, 15018, 22527

Step-4: Factors of 45058

List of positive integer factors of 45058 that divides 45054 without a remainder.

1, 2, 13, 26, 1733, 3466, 22529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45054 and 45058. The biggest common factor number is the GCF number.
So the greatest common factor 45054 and 45058 is 2.

Also check out the Least Common Multiple of 45054 and 45058