What is the Greatest Common Factor of 98875 and 98882?

Greatest common factor (GCF) of 98875 and 98882 is 7.

GCF(98875,98882) = 7

We will now calculate the prime factors of 98875 and 98882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98875 and 98882.

How to find the GCF of 98875 and 98882?

We will first find the prime factorization of 98875 and 98882. After we will calculate the factors of 98875 and 98882 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 98882

Prime factors of 98882 are 2, 7, 1009. Prime factorization of 98882 in exponential form is:

98882 = 2¹ × 7² × 1009¹

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 98882

List of positive integer factors of 98882 that divides 98875 without a remainder.

1, 2, 7, 14, 49, 98, 1009, 2018, 7063, 14126, 49441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98875 and 98882. The biggest common factor number is the GCF number.
So the greatest common factor 98875 and 98882 is 7.

Also check out the Least Common Multiple of 98875 and 98882