What is the Greatest Common Factor of 60398 and 60411?

Greatest common factor (GCF) of 60398 and 60411 is 13.

GCF(60398,60411) = 13

We will now calculate the prime factors of 60398 and 60411, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60398 and 60411.

How to find the GCF of 60398 and 60411?

We will first find the prime factorization of 60398 and 60411. After we will calculate the factors of 60398 and 60411 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 60411

Prime factors of 60411 are 3, 13, 1549. Prime factorization of 60411 in exponential form is:

60411 = 3¹ × 13¹ × 1549¹

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 60411

List of positive integer factors of 60411 that divides 60398 without a remainder.

1, 3, 13, 39, 1549, 4647, 20137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60398 and 60411. The biggest common factor number is the GCF number.
So the greatest common factor 60398 and 60411 is 13.

Also check out the Least Common Multiple of 60398 and 60411