What is the Greatest Common Factor of 98026 and 98032?

Greatest common factor (GCF) of 98026 and 98032 is 2.

GCF(98026,98032) = 2

We will now calculate the prime factors of 98026 and 98032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98026 and 98032.

How to find the GCF of 98026 and 98032?

We will first find the prime factorization of 98026 and 98032. After we will calculate the factors of 98026 and 98032 and find the biggest common factor number .

Step-1: Prime Factorization of 98026

Prime factors of 98026 are 2, 23, 2131. Prime factorization of 98026 in exponential form is:

98026 = 2¹ × 23¹ × 2131¹

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 98026

List of positive integer factors of 98026 that divides 98026 without a remainder.

1, 2, 23, 46, 2131, 4262, 49013

Step-4: Factors of 98032

List of positive integer factors of 98032 that divides 98026 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 98026 and 98032. The biggest common factor number is the GCF number.
So the greatest common factor 98026 and 98032 is 2.

Also check out the Least Common Multiple of 98026 and 98032