What is the Greatest Common Factor of 51225 and 51234?

Greatest common factor (GCF) of 51225 and 51234 is 3.

GCF(51225,51234) = 3

We will now calculate the prime factors of 51225 and 51234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51225 and 51234.

How to find the GCF of 51225 and 51234?

We will first find the prime factorization of 51225 and 51234. After we will calculate the factors of 51225 and 51234 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51234

Prime factors of 51234 are 2, 3, 8539. Prime factorization of 51234 in exponential form is:

51234 = 2¹ × 3¹ × 8539¹

Step-3: Factors of 51225

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

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

Step-4: Factors of 51234

List of positive integer factors of 51234 that divides 51225 without a remainder.

1, 2, 3, 6, 8539, 17078, 25617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51225 and 51234. The biggest common factor number is the GCF number.
So the greatest common factor 51225 and 51234 is 3.

Also check out the Least Common Multiple of 51225 and 51234