What is the Greatest Common Factor of 83050 and 83061?

Greatest common factor (GCF) of 83050 and 83061 is 11.

GCF(83050,83061) = 11

We will now calculate the prime factors of 83050 and 83061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83050 and 83061.

How to find the GCF of 83050 and 83061?

We will first find the prime factorization of 83050 and 83061. After we will calculate the factors of 83050 and 83061 and find the biggest common factor number .

Step-1: Prime Factorization of 83050

Prime factors of 83050 are 2, 5, 11, 151. Prime factorization of 83050 in exponential form is:

83050 = 2¹ × 5² × 11¹ × 151¹

Step-2: Prime Factorization of 83061

Prime factors of 83061 are 3, 11, 839. Prime factorization of 83061 in exponential form is:

83061 = 3² × 11¹ × 839¹

Step-3: Factors of 83050

List of positive integer factors of 83050 that divides 83050 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 151, 275, 302, 550, 755, 1510, 1661, 3322, 3775, 7550, 8305, 16610, 41525

Step-4: Factors of 83061

List of positive integer factors of 83061 that divides 83050 without a remainder.

1, 3, 9, 11, 33, 99, 839, 2517, 7551, 9229, 27687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83050 and 83061. The biggest common factor number is the GCF number.
So the greatest common factor 83050 and 83061 is 11.

Also check out the Least Common Multiple of 83050 and 83061