What is the Greatest Common Factor of 51230 and 51245?

Greatest common factor (GCF) of 51230 and 51245 is 5.

GCF(51230,51245) = 5

We will now calculate the prime factors of 51230 and 51245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51230 and 51245.

How to find the GCF of 51230 and 51245?

We will first find the prime factorization of 51230 and 51245. After we will calculate the factors of 51230 and 51245 and find the biggest common factor number .

Step-1: Prime Factorization of 51230

Prime factors of 51230 are 2, 5, 47, 109. Prime factorization of 51230 in exponential form is:

51230 = 2¹ × 5¹ × 47¹ × 109¹

Step-2: Prime Factorization of 51245

Prime factors of 51245 are 5, 37, 277. Prime factorization of 51245 in exponential form is:

51245 = 5¹ × 37¹ × 277¹

Step-3: Factors of 51230

List of positive integer factors of 51230 that divides 51230 without a remainder.

1, 2, 5, 10, 47, 94, 109, 218, 235, 470, 545, 1090, 5123, 10246, 25615

Step-4: Factors of 51245

List of positive integer factors of 51245 that divides 51230 without a remainder.

1, 5, 37, 185, 277, 1385, 10249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51230 and 51245. The biggest common factor number is the GCF number.
So the greatest common factor 51230 and 51245 is 5.

Also check out the Least Common Multiple of 51230 and 51245