What is the Greatest Common Factor of 45204 and 45210?

Greatest common factor (GCF) of 45204 and 45210 is 6.

GCF(45204,45210) = 6

We will now calculate the prime factors of 45204 and 45210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45204 and 45210.

How to find the GCF of 45204 and 45210?

We will first find the prime factorization of 45204 and 45210. After we will calculate the factors of 45204 and 45210 and find the biggest common factor number .

Step-1: Prime Factorization of 45204

Prime factors of 45204 are 2, 3, 3767. Prime factorization of 45204 in exponential form is:

45204 = 2² × 3¹ × 3767¹

Step-2: Prime Factorization of 45210

Prime factors of 45210 are 2, 3, 5, 11, 137. Prime factorization of 45210 in exponential form is:

45210 = 2¹ × 3¹ × 5¹ × 11¹ × 137¹

Step-3: Factors of 45204

List of positive integer factors of 45204 that divides 45204 without a remainder.

1, 2, 3, 4, 6, 12, 3767, 7534, 11301, 15068, 22602

Step-4: Factors of 45210

List of positive integer factors of 45210 that divides 45204 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 137, 165, 274, 330, 411, 685, 822, 1370, 1507, 2055, 3014, 4110, 4521, 7535, 9042, 15070, 22605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45204 and 45210. The biggest common factor number is the GCF number.
So the greatest common factor 45204 and 45210 is 6.

Also check out the Least Common Multiple of 45204 and 45210