What is the Greatest Common Factor of 47797 and 47804?

Greatest common factor (GCF) of 47797 and 47804 is 1.

GCF(47797,47804) = 1

We will now calculate the prime factors of 47797 and 47804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47797 and 47804.

How to find the GCF of 47797 and 47804?

We will first find the prime factorization of 47797 and 47804. After we will calculate the factors of 47797 and 47804 and find the biggest common factor number .

Step-1: Prime Factorization of 47797

Prime factors of 47797 are 47797. Prime factorization of 47797 in exponential form is:

47797 = 47797¹

Step-2: Prime Factorization of 47804

Prime factors of 47804 are 2, 17, 19, 37. Prime factorization of 47804 in exponential form is:

47804 = 2² × 17¹ × 19¹ × 37¹

Step-3: Factors of 47797

List of positive integer factors of 47797 that divides 47797 without a remainder.

Step-4: Factors of 47804

List of positive integer factors of 47804 that divides 47797 without a remainder.

1, 2, 4, 17, 19, 34, 37, 38, 68, 74, 76, 148, 323, 629, 646, 703, 1258, 1292, 1406, 2516, 2812, 11951, 23902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47797 and 47804. The biggest common factor number is the GCF number.
So the greatest common factor 47797 and 47804 is 1.

Also check out the Least Common Multiple of 47797 and 47804