What is the Greatest Common Factor of 52310 and 52325?

Greatest common factor (GCF) of 52310 and 52325 is 5.

GCF(52310,52325) = 5

We will now calculate the prime factors of 52310 and 52325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52310 and 52325.

How to find the GCF of 52310 and 52325?

We will first find the prime factorization of 52310 and 52325. After we will calculate the factors of 52310 and 52325 and find the biggest common factor number .

Step-1: Prime Factorization of 52310

Prime factors of 52310 are 2, 5, 5231. Prime factorization of 52310 in exponential form is:

52310 = 2¹ × 5¹ × 5231¹

Step-2: Prime Factorization of 52325

Prime factors of 52325 are 5, 7, 13, 23. Prime factorization of 52325 in exponential form is:

52325 = 5² × 7¹ × 13¹ × 23¹

Step-3: Factors of 52310

List of positive integer factors of 52310 that divides 52310 without a remainder.

1, 2, 5, 10, 5231, 10462, 26155

Step-4: Factors of 52325

List of positive integer factors of 52325 that divides 52310 without a remainder.

1, 5, 7, 13, 23, 25, 35, 65, 91, 115, 161, 175, 299, 325, 455, 575, 805, 1495, 2093, 2275, 4025, 7475, 10465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52310 and 52325. The biggest common factor number is the GCF number.
So the greatest common factor 52310 and 52325 is 5.

Also check out the Least Common Multiple of 52310 and 52325