What is the Greatest Common Factor of 98775 and 98795?

Greatest common factor (GCF) of 98775 and 98795 is 5.

GCF(98775,98795) = 5

We will now calculate the prime factors of 98775 and 98795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98775 and 98795.

How to find the GCF of 98775 and 98795?

We will first find the prime factorization of 98775 and 98795. After we will calculate the factors of 98775 and 98795 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98795

Prime factors of 98795 are 5, 19759. Prime factorization of 98795 in exponential form is:

98795 = 5¹ × 19759¹

Step-3: Factors of 98775

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

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

Step-4: Factors of 98795

List of positive integer factors of 98795 that divides 98775 without a remainder.

1, 5, 19759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98775 and 98795. The biggest common factor number is the GCF number.
So the greatest common factor 98775 and 98795 is 5.

Also check out the Least Common Multiple of 98775 and 98795