What is the Greatest Common Factor of 98442 and 98457?

Greatest common factor (GCF) of 98442 and 98457 is 3.

GCF(98442,98457) = 3

We will now calculate the prime factors of 98442 and 98457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98442 and 98457.

How to find the GCF of 98442 and 98457?

We will first find the prime factorization of 98442 and 98457. After we will calculate the factors of 98442 and 98457 and find the biggest common factor number .

Step-1: Prime Factorization of 98442

Prime factors of 98442 are 2, 3, 1823. Prime factorization of 98442 in exponential form is:

98442 = 2¹ × 3³ × 1823¹

Step-2: Prime Factorization of 98457

Prime factors of 98457 are 3, 37, 887. Prime factorization of 98457 in exponential form is:

98457 = 3¹ × 37¹ × 887¹

Step-3: Factors of 98442

List of positive integer factors of 98442 that divides 98442 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1823, 3646, 5469, 10938, 16407, 32814, 49221

Step-4: Factors of 98457

List of positive integer factors of 98457 that divides 98442 without a remainder.

1, 3, 37, 111, 887, 2661, 32819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98442 and 98457. The biggest common factor number is the GCF number.
So the greatest common factor 98442 and 98457 is 3.

Also check out the Least Common Multiple of 98442 and 98457