What is the Greatest Common Factor of 45234 and 45252?

Greatest common factor (GCF) of 45234 and 45252 is 18.

GCF(45234,45252) = 18

We will now calculate the prime factors of 45234 and 45252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45234 and 45252.

How to find the GCF of 45234 and 45252?

We will first find the prime factorization of 45234 and 45252. After we will calculate the factors of 45234 and 45252 and find the biggest common factor number .

Step-1: Prime Factorization of 45234

Prime factors of 45234 are 2, 3, 7, 359. Prime factorization of 45234 in exponential form is:

45234 = 2¹ × 3² × 7¹ × 359¹

Step-2: 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-3: Factors of 45234

List of positive integer factors of 45234 that divides 45234 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 359, 718, 1077, 2154, 2513, 3231, 5026, 6462, 7539, 15078, 22617

Step-4: Factors of 45252

List of positive integer factors of 45252 that divides 45234 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45234 and 45252. The biggest common factor number is the GCF number.
So the greatest common factor 45234 and 45252 is 18.

Also check out the Least Common Multiple of 45234 and 45252