What is the Greatest Common Factor of 47689 and 47698?

Greatest common factor (GCF) of 47689 and 47698 is 1.

GCF(47689,47698) = 1

We will now calculate the prime factors of 47689 and 47698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47689 and 47698.

How to find the GCF of 47689 and 47698?

We will first find the prime factorization of 47689 and 47698. After we will calculate the factors of 47689 and 47698 and find the biggest common factor number .

Step-1: Prime Factorization of 47689

Prime factors of 47689 are 103, 463. Prime factorization of 47689 in exponential form is:

47689 = 103¹ × 463¹

Step-2: Prime Factorization of 47698

Prime factors of 47698 are 2, 7, 3407. Prime factorization of 47698 in exponential form is:

47698 = 2¹ × 7¹ × 3407¹

Step-3: Factors of 47689

List of positive integer factors of 47689 that divides 47689 without a remainder.

1, 103, 463

Step-4: Factors of 47698

List of positive integer factors of 47698 that divides 47689 without a remainder.

1, 2, 7, 14, 3407, 6814, 23849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47689 and 47698. The biggest common factor number is the GCF number.
So the greatest common factor 47689 and 47698 is 1.

Also check out the Least Common Multiple of 47689 and 47698