What is the Greatest Common Factor of 49577 and 49588?

Greatest common factor (GCF) of 49577 and 49588 is 11.

GCF(49577,49588) = 11

We will now calculate the prime factors of 49577 and 49588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49577 and 49588.

How to find the GCF of 49577 and 49588?

We will first find the prime factorization of 49577 and 49588. After we will calculate the factors of 49577 and 49588 and find the biggest common factor number .

Step-1: Prime Factorization of 49577

Prime factors of 49577 are 11, 4507. Prime factorization of 49577 in exponential form is:

49577 = 11¹ × 4507¹

Step-2: 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-3: Factors of 49577

List of positive integer factors of 49577 that divides 49577 without a remainder.

1, 11, 4507

Step-4: Factors of 49588

List of positive integer factors of 49588 that divides 49577 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49577 and 49588. The biggest common factor number is the GCF number.
So the greatest common factor 49577 and 49588 is 11.

Also check out the Least Common Multiple of 49577 and 49588