What is the Greatest Common Factor of 49538 and 49558?

Greatest common factor (GCF) of 49538 and 49558 is 2.

GCF(49538,49558) = 2

We will now calculate the prime factors of 49538 and 49558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49538 and 49558.

How to find the GCF of 49538 and 49558?

We will first find the prime factorization of 49538 and 49558. After we will calculate the factors of 49538 and 49558 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 49558

Prime factors of 49558 are 2, 71, 349. Prime factorization of 49558 in exponential form is:

49558 = 2¹ × 71¹ × 349¹

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 49558

List of positive integer factors of 49558 that divides 49538 without a remainder.

1, 2, 71, 142, 349, 698, 24779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49538 and 49558. The biggest common factor number is the GCF number.
So the greatest common factor 49538 and 49558 is 2.

Also check out the Least Common Multiple of 49538 and 49558