What is the Greatest Common Factor of 49588 and 49594?

Greatest common factor (GCF) of 49588 and 49594 is 2.

GCF(49588,49594) = 2

We will now calculate the prime factors of 49588 and 49594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49588 and 49594.

How to find the GCF of 49588 and 49594?

We will first find the prime factorization of 49588 and 49594. After we will calculate the factors of 49588 and 49594 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 49594

Prime factors of 49594 are 2, 137, 181. Prime factorization of 49594 in exponential form is:

49594 = 2¹ × 137¹ × 181¹

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 49594

List of positive integer factors of 49594 that divides 49588 without a remainder.

1, 2, 137, 181, 274, 362, 24797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49588 and 49594. The biggest common factor number is the GCF number.
So the greatest common factor 49588 and 49594 is 2.

Also check out the Least Common Multiple of 49588 and 49594