What is the Greatest Common Factor of 53371 and 53390?

Greatest common factor (GCF) of 53371 and 53390 is 19.

GCF(53371,53390) = 19

We will now calculate the prime factors of 53371 and 53390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53371 and 53390.

How to find the GCF of 53371 and 53390?

We will first find the prime factorization of 53371 and 53390. After we will calculate the factors of 53371 and 53390 and find the biggest common factor number .

Step-1: Prime Factorization of 53371

Prime factors of 53371 are 19, 53. Prime factorization of 53371 in exponential form is:

53371 = 19¹ × 53²

Step-2: Prime Factorization of 53390

Prime factors of 53390 are 2, 5, 19, 281. Prime factorization of 53390 in exponential form is:

53390 = 2¹ × 5¹ × 19¹ × 281¹

Step-3: Factors of 53371

List of positive integer factors of 53371 that divides 53371 without a remainder.

1, 19, 53, 1007, 2809

Step-4: Factors of 53390

List of positive integer factors of 53390 that divides 53371 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 281, 562, 1405, 2810, 5339, 10678, 26695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53371 and 53390. The biggest common factor number is the GCF number.
So the greatest common factor 53371 and 53390 is 19.

Also check out the Least Common Multiple of 53371 and 53390