What is the Greatest Common Factor of 51310 and 51325?

Greatest common factor (GCF) of 51310 and 51325 is 5.

GCF(51310,51325) = 5

We will now calculate the prime factors of 51310 and 51325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51310 and 51325.

How to find the GCF of 51310 and 51325?

We will first find the prime factorization of 51310 and 51325. After we will calculate the factors of 51310 and 51325 and find the biggest common factor number .

Step-1: Prime Factorization of 51310

Prime factors of 51310 are 2, 5, 7, 733. Prime factorization of 51310 in exponential form is:

51310 = 2¹ × 5¹ × 7¹ × 733¹

Step-2: Prime Factorization of 51325

Prime factors of 51325 are 5, 2053. Prime factorization of 51325 in exponential form is:

51325 = 5² × 2053¹

Step-3: Factors of 51310

List of positive integer factors of 51310 that divides 51310 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 733, 1466, 3665, 5131, 7330, 10262, 25655

Step-4: Factors of 51325

List of positive integer factors of 51325 that divides 51310 without a remainder.

1, 5, 25, 2053, 10265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51310 and 51325. The biggest common factor number is the GCF number.
So the greatest common factor 51310 and 51325 is 5.

Also check out the Least Common Multiple of 51310 and 51325