What is the Greatest Common Factor of 98757 and 98767?

Greatest common factor (GCF) of 98757 and 98767 is 1.

GCF(98757,98767) = 1

We will now calculate the prime factors of 98757 and 98767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98757 and 98767.

How to find the GCF of 98757 and 98767?

We will first find the prime factorization of 98757 and 98767. After we will calculate the factors of 98757 and 98767 and find the biggest common factor number .

Step-1: Prime Factorization of 98757

Prime factors of 98757 are 3, 10973. Prime factorization of 98757 in exponential form is:

98757 = 3² × 10973¹

Step-2: Prime Factorization of 98767

Prime factors of 98767 are 283, 349. Prime factorization of 98767 in exponential form is:

98767 = 283¹ × 349¹

Step-3: Factors of 98757

List of positive integer factors of 98757 that divides 98757 without a remainder.

1, 3, 9, 10973, 32919

Step-4: Factors of 98767

List of positive integer factors of 98767 that divides 98757 without a remainder.

1, 283, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98757 and 98767. The biggest common factor number is the GCF number.
So the greatest common factor 98757 and 98767 is 1.

Also check out the Least Common Multiple of 98757 and 98767