What is the Greatest Common Factor of 49582 and 49588?

Greatest common factor (GCF) of 49582 and 49588 is 2.

GCF(49582,49588) = 2

We will now calculate the prime factors of 49582 and 49588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49582 and 49588.

How to find the GCF of 49582 and 49588?

We will first find the prime factorization of 49582 and 49588. After we will calculate the factors of 49582 and 49588 and find the biggest common factor number .

Step-1: Prime Factorization of 49582

Prime factors of 49582 are 2, 13, 1907. Prime factorization of 49582 in exponential form is:

49582 = 2¹ × 13¹ × 1907¹

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 49582

List of positive integer factors of 49582 that divides 49582 without a remainder.

1, 2, 13, 26, 1907, 3814, 24791

Step-4: Factors of 49588

List of positive integer factors of 49588 that divides 49582 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 49582 and 49588. The biggest common factor number is the GCF number.
So the greatest common factor 49582 and 49588 is 2.

Also check out the Least Common Multiple of 49582 and 49588