What is the Greatest Common Factor of 98765 and 98775?

Greatest common factor (GCF) of 98765 and 98775 is 5.

GCF(98765,98775) = 5

We will now calculate the prime factors of 98765 and 98775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98765 and 98775.

How to find the GCF of 98765 and 98775?

We will first find the prime factorization of 98765 and 98775. After we will calculate the factors of 98765 and 98775 and find the biggest common factor number .

Step-1: Prime Factorization of 98765

Prime factors of 98765 are 5, 19753. Prime factorization of 98765 in exponential form is:

98765 = 5¹ × 19753¹

Step-2: Prime Factorization of 98775

Prime factors of 98775 are 3, 5, 439. Prime factorization of 98775 in exponential form is:

98775 = 3² × 5² × 439¹

Step-3: Factors of 98765

List of positive integer factors of 98765 that divides 98765 without a remainder.

1, 5, 19753

Step-4: Factors of 98775

List of positive integer factors of 98775 that divides 98765 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 439, 1317, 2195, 3951, 6585, 10975, 19755, 32925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98765 and 98775. The biggest common factor number is the GCF number.
So the greatest common factor 98765 and 98775 is 5.

Also check out the Least Common Multiple of 98765 and 98775