What is the Greatest Common Factor of 53410 and 53423?

Greatest common factor (GCF) of 53410 and 53423 is 1.

GCF(53410,53423) = 1

We will now calculate the prime factors of 53410 and 53423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53410 and 53423.

How to find the GCF of 53410 and 53423?

We will first find the prime factorization of 53410 and 53423. After we will calculate the factors of 53410 and 53423 and find the biggest common factor number .

Step-1: Prime Factorization of 53410

Prime factors of 53410 are 2, 5, 7, 109. Prime factorization of 53410 in exponential form is:

53410 = 2¹ × 5¹ × 7² × 109¹

Step-2: Prime Factorization of 53423

Prime factors of 53423 are 41, 1303. Prime factorization of 53423 in exponential form is:

53423 = 41¹ × 1303¹

Step-3: Factors of 53410

List of positive integer factors of 53410 that divides 53410 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 109, 218, 245, 490, 545, 763, 1090, 1526, 3815, 5341, 7630, 10682, 26705

Step-4: Factors of 53423

List of positive integer factors of 53423 that divides 53410 without a remainder.

1, 41, 1303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53410 and 53423. The biggest common factor number is the GCF number.
So the greatest common factor 53410 and 53423 is 1.

Also check out the Least Common Multiple of 53410 and 53423