What is the Greatest Common Factor of 49588 and 49599?

Greatest common factor (GCF) of 49588 and 49599 is 11.

GCF(49588,49599) = 11

We will now calculate the prime factors of 49588 and 49599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49588 and 49599.

How to find the GCF of 49588 and 49599?

We will first find the prime factorization of 49588 and 49599. After we will calculate the factors of 49588 and 49599 and find the biggest common factor number .

Step-1: Prime Factorization of 49588

Prime factors of 49588 are 2, 7, 11, 23. Prime factorization of 49588 in exponential form is:

49588 = 2² × 7² × 11¹ × 23¹

Step-2: Prime Factorization of 49599

Prime factors of 49599 are 3, 11, 167. Prime factorization of 49599 in exponential form is:

49599 = 3³ × 11¹ × 167¹

Step-3: Factors of 49588

List of positive integer factors of 49588 that divides 49588 without a remainder.

1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 49, 77, 92, 98, 154, 161, 196, 253, 308, 322, 506, 539, 644, 1012, 1078, 1127, 1771, 2156, 2254, 3542, 4508, 7084, 12397, 24794

Step-4: Factors of 49599

List of positive integer factors of 49599 that divides 49588 without a remainder.

1, 3, 9, 11, 27, 33, 99, 167, 297, 501, 1503, 1837, 4509, 5511, 16533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49588 and 49599. The biggest common factor number is the GCF number.
So the greatest common factor 49588 and 49599 is 11.

Also check out the Least Common Multiple of 49588 and 49599