What is the Greatest Common Factor of 98032 and 98050?

Greatest common factor (GCF) of 98032 and 98050 is 2.

GCF(98032,98050) = 2

We will now calculate the prime factors of 98032 and 98050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98032 and 98050.

How to find the GCF of 98032 and 98050?

We will first find the prime factorization of 98032 and 98050. After we will calculate the factors of 98032 and 98050 and find the biggest common factor number .

Step-1: Prime Factorization of 98032

Prime factors of 98032 are 2, 11, 557. Prime factorization of 98032 in exponential form is:

98032 = 2⁴ × 11¹ × 557¹

Step-2: 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-3: Factors of 98032

List of positive integer factors of 98032 that divides 98032 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 557, 1114, 2228, 4456, 6127, 8912, 12254, 24508, 49016

Step-4: Factors of 98050

List of positive integer factors of 98050 that divides 98032 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98032 and 98050. The biggest common factor number is the GCF number.
So the greatest common factor 98032 and 98050 is 2.

Also check out the Least Common Multiple of 98032 and 98050