What is the Greatest Common Factor of 98889 and 98903?

Greatest common factor (GCF) of 98889 and 98903 is 7.

GCF(98889,98903) = 7

We will now calculate the prime factors of 98889 and 98903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98889 and 98903.

How to find the GCF of 98889 and 98903?

We will first find the prime factorization of 98889 and 98903. After we will calculate the factors of 98889 and 98903 and find the biggest common factor number .

Step-1: Prime Factorization of 98889

Prime factors of 98889 are 3, 7, 17, 277. Prime factorization of 98889 in exponential form is:

98889 = 3¹ × 7¹ × 17¹ × 277¹

Step-2: Prime Factorization of 98903

Prime factors of 98903 are 7, 71, 199. Prime factorization of 98903 in exponential form is:

98903 = 7¹ × 71¹ × 199¹

Step-3: Factors of 98889

List of positive integer factors of 98889 that divides 98889 without a remainder.

1, 3, 7, 17, 21, 51, 119, 277, 357, 831, 1939, 4709, 5817, 14127, 32963

Step-4: Factors of 98903

List of positive integer factors of 98903 that divides 98889 without a remainder.

1, 7, 71, 199, 497, 1393, 14129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98889 and 98903. The biggest common factor number is the GCF number.
So the greatest common factor 98889 and 98903 is 7.

Also check out the Least Common Multiple of 98889 and 98903