What is the Greatest Common Factor of 49538 and 49556?

Greatest common factor (GCF) of 49538 and 49556 is 2.

GCF(49538,49556) = 2

We will now calculate the prime factors of 49538 and 49556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49538 and 49556.

How to find the GCF of 49538 and 49556?

We will first find the prime factorization of 49538 and 49556. After we will calculate the factors of 49538 and 49556 and find the biggest common factor number .

Step-1: Prime Factorization of 49538

Prime factors of 49538 are 2, 17, 31, 47. Prime factorization of 49538 in exponential form is:

49538 = 2¹ × 17¹ × 31¹ × 47¹

Step-2: Prime Factorization of 49556

Prime factors of 49556 are 2, 13, 953. Prime factorization of 49556 in exponential form is:

49556 = 2² × 13¹ × 953¹

Step-3: Factors of 49538

List of positive integer factors of 49538 that divides 49538 without a remainder.

1, 2, 17, 31, 34, 47, 62, 94, 527, 799, 1054, 1457, 1598, 2914, 24769

Step-4: Factors of 49556

List of positive integer factors of 49556 that divides 49538 without a remainder.

1, 2, 4, 13, 26, 52, 953, 1906, 3812, 12389, 24778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49538 and 49556. The biggest common factor number is the GCF number.
So the greatest common factor 49538 and 49556 is 2.

Also check out the Least Common Multiple of 49538 and 49556