What is the Greatest Common Factor of 598 and 611?

Greatest common factor (GCF) of 598 and 611 is 13.

GCF(598,611) = 13

We will now calculate the prime factors of 598 and 611, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 598 and 611.

How to find the GCF of 598 and 611?

We will first find the prime factorization of 598 and 611. After we will calculate the factors of 598 and 611 and find the biggest common factor number .

Step-1: Prime Factorization of 598

Prime factors of 598 are 2, 13, 23. Prime factorization of 598 in exponential form is:

598 = 2¹ × 13¹ × 23¹

Step-2: Prime Factorization of 611

Prime factors of 611 are 13, 47. Prime factorization of 611 in exponential form is:

611 = 13¹ × 47¹

Step-3: Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299

Step-4: Factors of 611

List of positive integer factors of 611 that divides 598 without a remainder.

1, 13, 47

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 598 and 611. The biggest common factor number is the GCF number.
So the greatest common factor 598 and 611 is 13.

Also check out the Least Common Multiple of 598 and 611