What is the Greatest Common Factor of 60398 and 60404?

Greatest common factor (GCF) of 60398 and 60404 is 2.

GCF(60398,60404) = 2

We will now calculate the prime factors of 60398 and 60404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60398 and 60404.

How to find the GCF of 60398 and 60404?

We will first find the prime factorization of 60398 and 60404. After we will calculate the factors of 60398 and 60404 and find the biggest common factor number .

Step-1: Prime Factorization of 60398

Prime factors of 60398 are 2, 13, 23, 101. Prime factorization of 60398 in exponential form is:

60398 = 2¹ × 13¹ × 23¹ × 101¹

Step-2: Prime Factorization of 60404

Prime factors of 60404 are 2, 15101. Prime factorization of 60404 in exponential form is:

60404 = 2² × 15101¹

Step-3: Factors of 60398

List of positive integer factors of 60398 that divides 60398 without a remainder.

1, 2, 13, 23, 26, 46, 101, 202, 299, 598, 1313, 2323, 2626, 4646, 30199

Step-4: Factors of 60404

List of positive integer factors of 60404 that divides 60398 without a remainder.

1, 2, 4, 15101, 30202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60398 and 60404. The biggest common factor number is the GCF number.
So the greatest common factor 60398 and 60404 is 2.

Also check out the Least Common Multiple of 60398 and 60404