What is the Greatest Common Factor of 52370 and 52390?

Greatest common factor (GCF) of 52370 and 52390 is 10.

GCF(52370,52390) = 10

We will now calculate the prime factors of 52370 and 52390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52370 and 52390.

How to find the GCF of 52370 and 52390?

We will first find the prime factorization of 52370 and 52390. After we will calculate the factors of 52370 and 52390 and find the biggest common factor number .

Step-1: Prime Factorization of 52370

Prime factors of 52370 are 2, 5, 5237. Prime factorization of 52370 in exponential form is:

52370 = 2¹ × 5¹ × 5237¹

Step-2: Prime Factorization of 52390

Prime factors of 52390 are 2, 5, 13, 31. Prime factorization of 52390 in exponential form is:

52390 = 2¹ × 5¹ × 13² × 31¹

Step-3: Factors of 52370

List of positive integer factors of 52370 that divides 52370 without a remainder.

1, 2, 5, 10, 5237, 10474, 26185

Step-4: Factors of 52390

List of positive integer factors of 52390 that divides 52370 without a remainder.

1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 169, 310, 338, 403, 806, 845, 1690, 2015, 4030, 5239, 10478, 26195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52370 and 52390. The biggest common factor number is the GCF number.
So the greatest common factor 52370 and 52390 is 10.

Also check out the Least Common Multiple of 52370 and 52390