What is the Greatest Common Factor of 98674 and 98681?

Greatest common factor (GCF) of 98674 and 98681 is 1.

GCF(98674,98681) = 1

We will now calculate the prime factors of 98674 and 98681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98674 and 98681.

How to find the GCF of 98674 and 98681?

We will first find the prime factorization of 98674 and 98681. After we will calculate the factors of 98674 and 98681 and find the biggest common factor number .

Step-1: Prime Factorization of 98674

Prime factors of 98674 are 2, 103, 479. Prime factorization of 98674 in exponential form is:

98674 = 2¹ × 103¹ × 479¹

Step-2: Prime Factorization of 98681

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

98681 = 11¹ × 8971¹

Step-3: Factors of 98674

List of positive integer factors of 98674 that divides 98674 without a remainder.

1, 2, 103, 206, 479, 958, 49337

Step-4: Factors of 98681

List of positive integer factors of 98681 that divides 98674 without a remainder.

1, 11, 8971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98674 and 98681. The biggest common factor number is the GCF number.
So the greatest common factor 98674 and 98681 is 1.

Also check out the Least Common Multiple of 98674 and 98681