What is the Greatest Common Factor of 45138 and 45153?

Greatest common factor (GCF) of 45138 and 45153 is 3.

GCF(45138,45153) = 3

We will now calculate the prime factors of 45138 and 45153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45138 and 45153.

How to find the GCF of 45138 and 45153?

We will first find the prime factorization of 45138 and 45153. After we will calculate the factors of 45138 and 45153 and find the biggest common factor number .

Step-1: Prime Factorization of 45138

Prime factors of 45138 are 2, 3, 7523. Prime factorization of 45138 in exponential form is:

45138 = 2¹ × 3¹ × 7523¹

Step-2: Prime Factorization of 45153

Prime factors of 45153 are 3, 29, 173. Prime factorization of 45153 in exponential form is:

45153 = 3² × 29¹ × 173¹

Step-3: Factors of 45138

List of positive integer factors of 45138 that divides 45138 without a remainder.

1, 2, 3, 6, 7523, 15046, 22569

Step-4: Factors of 45153

List of positive integer factors of 45153 that divides 45138 without a remainder.

1, 3, 9, 29, 87, 173, 261, 519, 1557, 5017, 15051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45138 and 45153. The biggest common factor number is the GCF number.
So the greatest common factor 45138 and 45153 is 3.

Also check out the Least Common Multiple of 45138 and 45153