What is the Greatest Common Factor of 98091 and 98107?

Greatest common factor (GCF) of 98091 and 98107 is 1.

GCF(98091,98107) = 1

We will now calculate the prime factors of 98091 and 98107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98091 and 98107.

How to find the GCF of 98091 and 98107?

We will first find the prime factorization of 98091 and 98107. After we will calculate the factors of 98091 and 98107 and find the biggest common factor number .

Step-1: Prime Factorization of 98091

Prime factors of 98091 are 3, 7, 173. Prime factorization of 98091 in exponential form is:

98091 = 3⁴ × 7¹ × 173¹

Step-2: Prime Factorization of 98107

Prime factors of 98107 are 17, 29, 199. Prime factorization of 98107 in exponential form is:

98107 = 17¹ × 29¹ × 199¹

Step-3: Factors of 98091

List of positive integer factors of 98091 that divides 98091 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 173, 189, 519, 567, 1211, 1557, 3633, 4671, 10899, 14013, 32697

Step-4: Factors of 98107

List of positive integer factors of 98107 that divides 98091 without a remainder.

1, 17, 29, 199, 493, 3383, 5771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98091 and 98107. The biggest common factor number is the GCF number.
So the greatest common factor 98091 and 98107 is 1.

Also check out the Least Common Multiple of 98091 and 98107