What is the Greatest Common Factor of 98021 and 98032?

Greatest common factor (GCF) of 98021 and 98032 is 11.

GCF(98021,98032) = 11

We will now calculate the prime factors of 98021 and 98032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98021 and 98032.

How to find the GCF of 98021 and 98032?

We will first find the prime factorization of 98021 and 98032. After we will calculate the factors of 98021 and 98032 and find the biggest common factor number .

Step-1: Prime Factorization of 98021

Prime factors of 98021 are 7, 11, 19, 67. Prime factorization of 98021 in exponential form is:

98021 = 7¹ × 11¹ × 19¹ × 67¹

Step-2: 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-3: Factors of 98021

List of positive integer factors of 98021 that divides 98021 without a remainder.

1, 7, 11, 19, 67, 77, 133, 209, 469, 737, 1273, 1463, 5159, 8911, 14003

Step-4: Factors of 98032

List of positive integer factors of 98032 that divides 98021 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98021 and 98032. The biggest common factor number is the GCF number.
So the greatest common factor 98021 and 98032 is 11.

Also check out the Least Common Multiple of 98021 and 98032