What is the Greatest Common Factor of 98089 and 98098?

Greatest common factor (GCF) of 98089 and 98098 is 1.

GCF(98089,98098) = 1

We will now calculate the prime factors of 98089 and 98098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98089 and 98098.

How to find the GCF of 98089 and 98098?

We will first find the prime factorization of 98089 and 98098. After we will calculate the factors of 98089 and 98098 and find the biggest common factor number .

Step-1: Prime Factorization of 98089

Prime factors of 98089 are 47, 2087. Prime factorization of 98089 in exponential form is:

98089 = 47¹ × 2087¹

Step-2: Prime Factorization of 98098

Prime factors of 98098 are 2, 7, 11, 13. Prime factorization of 98098 in exponential form is:

98098 = 2¹ × 7³ × 11¹ × 13¹

Step-3: Factors of 98089

List of positive integer factors of 98089 that divides 98089 without a remainder.

1, 47, 2087

Step-4: Factors of 98098

List of positive integer factors of 98098 that divides 98089 without a remainder.

1, 2, 7, 11, 13, 14, 22, 26, 49, 77, 91, 98, 143, 154, 182, 286, 343, 539, 637, 686, 1001, 1078, 1274, 2002, 3773, 4459, 7007, 7546, 8918, 14014, 49049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98089 and 98098. The biggest common factor number is the GCF number.
So the greatest common factor 98089 and 98098 is 1.

Also check out the Least Common Multiple of 98089 and 98098