What is the Greatest Common Factor of 49775 and 49790?

Greatest common factor (GCF) of 49775 and 49790 is 5.

GCF(49775,49790) = 5

We will now calculate the prime factors of 49775 and 49790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49775 and 49790.

How to find the GCF of 49775 and 49790?

We will first find the prime factorization of 49775 and 49790. After we will calculate the factors of 49775 and 49790 and find the biggest common factor number .

Step-1: Prime Factorization of 49775

Prime factors of 49775 are 5, 11, 181. Prime factorization of 49775 in exponential form is:

49775 = 5² × 11¹ × 181¹

Step-2: 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-3: Factors of 49775

List of positive integer factors of 49775 that divides 49775 without a remainder.

1, 5, 11, 25, 55, 181, 275, 905, 1991, 4525, 9955

Step-4: Factors of 49790

List of positive integer factors of 49790 that divides 49775 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49775 and 49790. The biggest common factor number is the GCF number.
So the greatest common factor 49775 and 49790 is 5.

Also check out the Least Common Multiple of 49775 and 49790