What is the Greatest Common Factor of 98723 and 98737?

Greatest common factor (GCF) of 98723 and 98737 is 1.

GCF(98723,98737) = 1

We will now calculate the prime factors of 98723 and 98737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98723 and 98737.

How to find the GCF of 98723 and 98737?

We will first find the prime factorization of 98723 and 98737. After we will calculate the factors of 98723 and 98737 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 98737

Prime factors of 98737 are 98737. Prime factorization of 98737 in exponential form is:

98737 = 98737¹

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 98737

List of positive integer factors of 98737 that divides 98723 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98723 and 98737. The biggest common factor number is the GCF number.
So the greatest common factor 98723 and 98737 is 1.

Also check out the Least Common Multiple of 98723 and 98737