What is the Greatest Common Factor of 98875 and 98881?

Greatest common factor (GCF) of 98875 and 98881 is 1.

GCF(98875,98881) = 1

We will now calculate the prime factors of 98875 and 98881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98875 and 98881.

How to find the GCF of 98875 and 98881?

We will first find the prime factorization of 98875 and 98881. After we will calculate the factors of 98875 and 98881 and find the biggest common factor number .

Step-1: Prime Factorization of 98875

Prime factors of 98875 are 5, 7, 113. Prime factorization of 98875 in exponential form is:

98875 = 5³ × 7¹ × 113¹

Step-2: Prime Factorization of 98881

Prime factors of 98881 are 61, 1621. Prime factorization of 98881 in exponential form is:

98881 = 61¹ × 1621¹

Step-3: Factors of 98875

List of positive integer factors of 98875 that divides 98875 without a remainder.

1, 5, 7, 25, 35, 113, 125, 175, 565, 791, 875, 2825, 3955, 14125, 19775

Step-4: Factors of 98881

List of positive integer factors of 98881 that divides 98875 without a remainder.

1, 61, 1621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98875 and 98881. The biggest common factor number is the GCF number.
So the greatest common factor 98875 and 98881 is 1.

Also check out the Least Common Multiple of 98875 and 98881