What is the Greatest Common Factor of 47892 and 47897?

Greatest common factor (GCF) of 47892 and 47897 is 1.

GCF(47892,47897) = 1

We will now calculate the prime factors of 47892 and 47897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47892 and 47897.

How to find the GCF of 47892 and 47897?

We will first find the prime factorization of 47892 and 47897. After we will calculate the factors of 47892 and 47897 and find the biggest common factor number .

Step-1: Prime Factorization of 47892

Prime factors of 47892 are 2, 3, 13, 307. Prime factorization of 47892 in exponential form is:

47892 = 2² × 3¹ × 13¹ × 307¹

Step-2: Prime Factorization of 47897

Prime factors of 47897 are 211, 227. Prime factorization of 47897 in exponential form is:

47897 = 211¹ × 227¹

Step-3: Factors of 47892

List of positive integer factors of 47892 that divides 47892 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 307, 614, 921, 1228, 1842, 3684, 3991, 7982, 11973, 15964, 23946

Step-4: Factors of 47897

List of positive integer factors of 47897 that divides 47892 without a remainder.

1, 211, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47892 and 47897. The biggest common factor number is the GCF number.
So the greatest common factor 47892 and 47897 is 1.

Also check out the Least Common Multiple of 47892 and 47897