What is the Greatest Common Factor of 47084 and 47097?

Greatest common factor (GCF) of 47084 and 47097 is 1.

GCF(47084,47097) = 1

We will now calculate the prime factors of 47084 and 47097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47084 and 47097.

How to find the GCF of 47084 and 47097?

We will first find the prime factorization of 47084 and 47097. After we will calculate the factors of 47084 and 47097 and find the biggest common factor number .

Step-1: Prime Factorization of 47084

Prime factors of 47084 are 2, 79, 149. Prime factorization of 47084 in exponential form is:

47084 = 2² × 79¹ × 149¹

Step-2: Prime Factorization of 47097

Prime factors of 47097 are 3, 5233. Prime factorization of 47097 in exponential form is:

47097 = 3² × 5233¹

Step-3: Factors of 47084

List of positive integer factors of 47084 that divides 47084 without a remainder.

1, 2, 4, 79, 149, 158, 298, 316, 596, 11771, 23542

Step-4: Factors of 47097

List of positive integer factors of 47097 that divides 47084 without a remainder.

1, 3, 9, 5233, 15699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47084 and 47097. The biggest common factor number is the GCF number.
So the greatest common factor 47084 and 47097 is 1.

Also check out the Least Common Multiple of 47084 and 47097