What is the Greatest Common Factor of 45252 and 45270?

Greatest common factor (GCF) of 45252 and 45270 is 18.

GCF(45252,45270) = 18

We will now calculate the prime factors of 45252 and 45270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45252 and 45270.

How to find the GCF of 45252 and 45270?

We will first find the prime factorization of 45252 and 45270. After we will calculate the factors of 45252 and 45270 and find the biggest common factor number .

Step-1: Prime Factorization of 45252

Prime factors of 45252 are 2, 3, 419. Prime factorization of 45252 in exponential form is:

45252 = 2² × 3³ × 419¹

Step-2: Prime Factorization of 45270

Prime factors of 45270 are 2, 3, 5, 503. Prime factorization of 45270 in exponential form is:

45270 = 2¹ × 3² × 5¹ × 503¹

Step-3: Factors of 45252

List of positive integer factors of 45252 that divides 45252 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 419, 838, 1257, 1676, 2514, 3771, 5028, 7542, 11313, 15084, 22626

Step-4: Factors of 45270

List of positive integer factors of 45270 that divides 45252 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 503, 1006, 1509, 2515, 3018, 4527, 5030, 7545, 9054, 15090, 22635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45252 and 45270. The biggest common factor number is the GCF number.
So the greatest common factor 45252 and 45270 is 18.

Also check out the Least Common Multiple of 45252 and 45270