What is the Greatest Common Factor of 98050 and 98066?

Greatest common factor (GCF) of 98050 and 98066 is 2.

GCF(98050,98066) = 2

We will now calculate the prime factors of 98050 and 98066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98050 and 98066.

How to find the GCF of 98050 and 98066?

We will first find the prime factorization of 98050 and 98066. After we will calculate the factors of 98050 and 98066 and find the biggest common factor number .

Step-1: Prime Factorization of 98050

Prime factors of 98050 are 2, 5, 37, 53. Prime factorization of 98050 in exponential form is:

98050 = 2¹ × 5² × 37¹ × 53¹

Step-2: Prime Factorization of 98066

Prime factors of 98066 are 2, 49033. Prime factorization of 98066 in exponential form is:

98066 = 2¹ × 49033¹

Step-3: Factors of 98050

List of positive integer factors of 98050 that divides 98050 without a remainder.

1, 2, 5, 10, 25, 37, 50, 53, 74, 106, 185, 265, 370, 530, 925, 1325, 1850, 1961, 2650, 3922, 9805, 19610, 49025

Step-4: Factors of 98066

List of positive integer factors of 98066 that divides 98050 without a remainder.

1, 2, 49033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98050 and 98066. The biggest common factor number is the GCF number.
So the greatest common factor 98050 and 98066 is 2.

Also check out the Least Common Multiple of 98050 and 98066