What is the Greatest Common Factor of 47802 and 47809?

Greatest common factor (GCF) of 47802 and 47809 is 1.

GCF(47802,47809) = 1

We will now calculate the prime factors of 47802 and 47809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47802 and 47809.

How to find the GCF of 47802 and 47809?

We will first find the prime factorization of 47802 and 47809. After we will calculate the factors of 47802 and 47809 and find the biggest common factor number .

Step-1: Prime Factorization of 47802

Prime factors of 47802 are 2, 3, 31, 257. Prime factorization of 47802 in exponential form is:

47802 = 2¹ × 3¹ × 31¹ × 257¹

Step-2: Prime Factorization of 47809

Prime factors of 47809 are 47809. Prime factorization of 47809 in exponential form is:

47809 = 47809¹

Step-3: Factors of 47802

List of positive integer factors of 47802 that divides 47802 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 257, 514, 771, 1542, 7967, 15934, 23901

Step-4: Factors of 47809

List of positive integer factors of 47809 that divides 47802 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47802 and 47809. The biggest common factor number is the GCF number.
So the greatest common factor 47802 and 47809 is 1.

Also check out the Least Common Multiple of 47802 and 47809