What is the Greatest Common Factor of 98687 and 98707?

Greatest common factor (GCF) of 98687 and 98707 is 1.

GCF(98687,98707) = 1

We will now calculate the prime factors of 98687 and 98707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98687 and 98707.

How to find the GCF of 98687 and 98707?

We will first find the prime factorization of 98687 and 98707. After we will calculate the factors of 98687 and 98707 and find the biggest common factor number .

Step-1: Prime Factorization of 98687

Prime factors of 98687 are 29, 41, 83. Prime factorization of 98687 in exponential form is:

98687 = 29¹ × 41¹ × 83¹

Step-2: Prime Factorization of 98707

Prime factors of 98707 are 7, 59, 239. Prime factorization of 98707 in exponential form is:

98707 = 7¹ × 59¹ × 239¹

Step-3: Factors of 98687

List of positive integer factors of 98687 that divides 98687 without a remainder.

1, 29, 41, 83, 1189, 2407, 3403

Step-4: Factors of 98707

List of positive integer factors of 98707 that divides 98687 without a remainder.

1, 7, 59, 239, 413, 1673, 14101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98687 and 98707. The biggest common factor number is the GCF number.
So the greatest common factor 98687 and 98707 is 1.

Also check out the Least Common Multiple of 98687 and 98707