What is the Greatest Common Factor of 98681 and 98692?

Greatest common factor (GCF) of 98681 and 98692 is 11.

GCF(98681,98692) = 11

We will now calculate the prime factors of 98681 and 98692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98681 and 98692.

How to find the GCF of 98681 and 98692?

We will first find the prime factorization of 98681 and 98692. After we will calculate the factors of 98681 and 98692 and find the biggest common factor number .

Step-1: Prime Factorization of 98681

Prime factors of 98681 are 11, 8971. Prime factorization of 98681 in exponential form is:

98681 = 11¹ × 8971¹

Step-2: Prime Factorization of 98692

Prime factors of 98692 are 2, 11, 2243. Prime factorization of 98692 in exponential form is:

98692 = 2² × 11¹ × 2243¹

Step-3: Factors of 98681

List of positive integer factors of 98681 that divides 98681 without a remainder.

1, 11, 8971

Step-4: Factors of 98692

List of positive integer factors of 98692 that divides 98681 without a remainder.

1, 2, 4, 11, 22, 44, 2243, 4486, 8972, 24673, 49346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98681 and 98692. The biggest common factor number is the GCF number.
So the greatest common factor 98681 and 98692 is 11.

Also check out the Least Common Multiple of 98681 and 98692