What is the Greatest Common Factor of 60344 and 60356?

Greatest common factor (GCF) of 60344 and 60356 is 4.

GCF(60344,60356) = 4

We will now calculate the prime factors of 60344 and 60356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60344 and 60356.

How to find the GCF of 60344 and 60356?

We will first find the prime factorization of 60344 and 60356. After we will calculate the factors of 60344 and 60356 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 60356

Prime factors of 60356 are 2, 79, 191. Prime factorization of 60356 in exponential form is:

60356 = 2² × 79¹ × 191¹

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 60356

List of positive integer factors of 60356 that divides 60344 without a remainder.

1, 2, 4, 79, 158, 191, 316, 382, 764, 15089, 30178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60344 and 60356. The biggest common factor number is the GCF number.
So the greatest common factor 60344 and 60356 is 4.

Also check out the Least Common Multiple of 60344 and 60356