What is the Greatest Common Factor of 51210 and 51225?

Greatest common factor (GCF) of 51210 and 51225 is 15.

GCF(51210,51225) = 15

We will now calculate the prime factors of 51210 and 51225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51210 and 51225.

How to find the GCF of 51210 and 51225?

We will first find the prime factorization of 51210 and 51225. After we will calculate the factors of 51210 and 51225 and find the biggest common factor number .

Step-1: Prime Factorization of 51210

Prime factors of 51210 are 2, 3, 5, 569. Prime factorization of 51210 in exponential form is:

51210 = 2¹ × 3² × 5¹ × 569¹

Step-2: Prime Factorization of 51225

Prime factors of 51225 are 3, 5, 683. Prime factorization of 51225 in exponential form is:

51225 = 3¹ × 5² × 683¹

Step-3: Factors of 51210

List of positive integer factors of 51210 that divides 51210 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 569, 1138, 1707, 2845, 3414, 5121, 5690, 8535, 10242, 17070, 25605

Step-4: Factors of 51225

List of positive integer factors of 51225 that divides 51210 without a remainder.

1, 3, 5, 15, 25, 75, 683, 2049, 3415, 10245, 17075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51210 and 51225. The biggest common factor number is the GCF number.
So the greatest common factor 51210 and 51225 is 15.

Also check out the Least Common Multiple of 51210 and 51225