What is the Greatest Common Factor of 53598 and 53613?

Greatest common factor (GCF) of 53598 and 53613 is 3.

GCF(53598,53613) = 3

We will now calculate the prime factors of 53598 and 53613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53598 and 53613.

How to find the GCF of 53598 and 53613?

We will first find the prime factorization of 53598 and 53613. After we will calculate the factors of 53598 and 53613 and find the biggest common factor number .

Step-1: Prime Factorization of 53598

Prime factors of 53598 are 2, 3, 8933. Prime factorization of 53598 in exponential form is:

53598 = 2¹ × 3¹ × 8933¹

Step-2: Prime Factorization of 53613

Prime factors of 53613 are 3, 7, 23, 37. Prime factorization of 53613 in exponential form is:

53613 = 3² × 7¹ × 23¹ × 37¹

Step-3: Factors of 53598

List of positive integer factors of 53598 that divides 53598 without a remainder.

1, 2, 3, 6, 8933, 17866, 26799

Step-4: Factors of 53613

List of positive integer factors of 53613 that divides 53598 without a remainder.

1, 3, 7, 9, 21, 23, 37, 63, 69, 111, 161, 207, 259, 333, 483, 777, 851, 1449, 2331, 2553, 5957, 7659, 17871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53598 and 53613. The biggest common factor number is the GCF number.
So the greatest common factor 53598 and 53613 is 3.

Also check out the Least Common Multiple of 53598 and 53613