What is the Greatest Common Factor of 60344 and 60359?

Greatest common factor (GCF) of 60344 and 60359 is 1.

GCF(60344,60359) = 1

We will now calculate the prime factors of 60344 and 60359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60344 and 60359.

How to find the GCF of 60344 and 60359?

We will first find the prime factorization of 60344 and 60359. After we will calculate the factors of 60344 and 60359 and find the biggest common factor number .

Step-1: Prime Factorization of 60344

Prime factors of 60344 are 2, 19, 397. Prime factorization of 60344 in exponential form is:

60344 = 2³ × 19¹ × 397¹

Step-2: Prime Factorization of 60359

Prime factors of 60359 are 13, 4643. Prime factorization of 60359 in exponential form is:

60359 = 13¹ × 4643¹

Step-3: Factors of 60344

List of positive integer factors of 60344 that divides 60344 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 397, 794, 1588, 3176, 7543, 15086, 30172

Step-4: Factors of 60359

List of positive integer factors of 60359 that divides 60344 without a remainder.

1, 13, 4643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60344 and 60359. The biggest common factor number is the GCF number.
So the greatest common factor 60344 and 60359 is 1.

Also check out the Least Common Multiple of 60344 and 60359