What is the Greatest Common Factor of 49790 and 49804?

Greatest common factor (GCF) of 49790 and 49804 is 2.

GCF(49790,49804) = 2

We will now calculate the prime factors of 49790 and 49804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49790 and 49804.

How to find the GCF of 49790 and 49804?

We will first find the prime factorization of 49790 and 49804. After we will calculate the factors of 49790 and 49804 and find the biggest common factor number .

Step-1: Prime Factorization of 49790

Prime factors of 49790 are 2, 5, 13, 383. Prime factorization of 49790 in exponential form is:

49790 = 2¹ × 5¹ × 13¹ × 383¹

Step-2: Prime Factorization of 49804

Prime factors of 49804 are 2, 12451. Prime factorization of 49804 in exponential form is:

49804 = 2² × 12451¹

Step-3: Factors of 49790

List of positive integer factors of 49790 that divides 49790 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 383, 766, 1915, 3830, 4979, 9958, 24895

Step-4: Factors of 49804

List of positive integer factors of 49804 that divides 49790 without a remainder.

1, 2, 4, 12451, 24902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49790 and 49804. The biggest common factor number is the GCF number.
So the greatest common factor 49790 and 49804 is 2.

Also check out the Least Common Multiple of 49790 and 49804