What is the Greatest Common Factor of 98795 and 98808?

Greatest common factor (GCF) of 98795 and 98808 is 1.

GCF(98795,98808) = 1

We will now calculate the prime factors of 98795 and 98808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98795 and 98808.

How to find the GCF of 98795 and 98808?

We will first find the prime factorization of 98795 and 98808. After we will calculate the factors of 98795 and 98808 and find the biggest common factor number .

Step-1: Prime Factorization of 98795

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

98795 = 5¹ × 19759¹

Step-2: Prime Factorization of 98808

Prime factors of 98808 are 2, 3, 23, 179. Prime factorization of 98808 in exponential form is:

98808 = 2³ × 3¹ × 23¹ × 179¹

Step-3: Factors of 98795

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

1, 5, 19759

Step-4: Factors of 98808

List of positive integer factors of 98808 that divides 98795 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 179, 184, 276, 358, 537, 552, 716, 1074, 1432, 2148, 4117, 4296, 8234, 12351, 16468, 24702, 32936, 49404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98795 and 98808. The biggest common factor number is the GCF number.
So the greatest common factor 98795 and 98808 is 1.

Also check out the Least Common Multiple of 98795 and 98808