What is the Greatest Common Factor of 49775 and 49789?

Greatest common factor (GCF) of 49775 and 49789 is 1.

GCF(49775,49789) = 1

We will now calculate the prime factors of 49775 and 49789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49775 and 49789.

How to find the GCF of 49775 and 49789?

We will first find the prime factorization of 49775 and 49789. After we will calculate the factors of 49775 and 49789 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 49789

Prime factors of 49789 are 49789. Prime factorization of 49789 in exponential form is:

49789 = 49789¹

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 49789

List of positive integer factors of 49789 that divides 49775 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49775 and 49789. The biggest common factor number is the GCF number.
So the greatest common factor 49775 and 49789 is 1.

Also check out the Least Common Multiple of 49775 and 49789