What is the Greatest Common Factor of 98723 and 98742?

Greatest common factor (GCF) of 98723 and 98742 is 1.

GCF(98723,98742) = 1

We will now calculate the prime factors of 98723 and 98742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98723 and 98742.

How to find the GCF of 98723 and 98742?

We will first find the prime factorization of 98723 and 98742. After we will calculate the factors of 98723 and 98742 and find the biggest common factor number .

Step-1: Prime Factorization of 98723

Prime factors of 98723 are 269, 367. Prime factorization of 98723 in exponential form is:

98723 = 269¹ × 367¹

Step-2: Prime Factorization of 98742

Prime factors of 98742 are 2, 3, 7, 2351. Prime factorization of 98742 in exponential form is:

98742 = 2¹ × 3¹ × 7¹ × 2351¹

Step-3: Factors of 98723

List of positive integer factors of 98723 that divides 98723 without a remainder.

1, 269, 367

Step-4: Factors of 98742

List of positive integer factors of 98742 that divides 98723 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2351, 4702, 7053, 14106, 16457, 32914, 49371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98723 and 98742. The biggest common factor number is the GCF number.
So the greatest common factor 98723 and 98742 is 1.

Also check out the Least Common Multiple of 98723 and 98742