What is the Greatest Common Factor of 98875 and 98885?

Greatest common factor (GCF) of 98875 and 98885 is 5.

GCF(98875,98885) = 5

We will now calculate the prime factors of 98875 and 98885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98875 and 98885.

How to find the GCF of 98875 and 98885?

We will first find the prime factorization of 98875 and 98885. After we will calculate the factors of 98875 and 98885 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 98885

Prime factors of 98885 are 5, 19777. Prime factorization of 98885 in exponential form is:

98885 = 5¹ × 19777¹

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 98885

List of positive integer factors of 98885 that divides 98875 without a remainder.

1, 5, 19777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98875 and 98885. The biggest common factor number is the GCF number.
So the greatest common factor 98875 and 98885 is 5.

Also check out the Least Common Multiple of 98875 and 98885