What is the Greatest Common Factor of 98059 and 98077?

Greatest common factor (GCF) of 98059 and 98077 is 1.

GCF(98059,98077) = 1

We will now calculate the prime factors of 98059 and 98077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98059 and 98077.

How to find the GCF of 98059 and 98077?

We will first find the prime factorization of 98059 and 98077. After we will calculate the factors of 98059 and 98077 and find the biggest common factor number .

Step-1: Prime Factorization of 98059

Prime factors of 98059 are 13, 19, 397. Prime factorization of 98059 in exponential form is:

98059 = 13¹ × 19¹ × 397¹

Step-2: Prime Factorization of 98077

Prime factors of 98077 are 7, 14011. Prime factorization of 98077 in exponential form is:

98077 = 7¹ × 14011¹

Step-3: Factors of 98059

List of positive integer factors of 98059 that divides 98059 without a remainder.

1, 13, 19, 247, 397, 5161, 7543

Step-4: Factors of 98077

List of positive integer factors of 98077 that divides 98059 without a remainder.

1, 7, 14011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98059 and 98077. The biggest common factor number is the GCF number.
So the greatest common factor 98059 and 98077 is 1.

Also check out the Least Common Multiple of 98059 and 98077