What is the Greatest Common Factor of 47828 and 47845?

Greatest common factor (GCF) of 47828 and 47845 is 1.

GCF(47828,47845) = 1

We will now calculate the prime factors of 47828 and 47845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47828 and 47845.

How to find the GCF of 47828 and 47845?

We will first find the prime factorization of 47828 and 47845. After we will calculate the factors of 47828 and 47845 and find the biggest common factor number .

Step-1: Prime Factorization of 47828

Prime factors of 47828 are 2, 11, 1087. Prime factorization of 47828 in exponential form is:

47828 = 2² × 11¹ × 1087¹

Step-2: Prime Factorization of 47845

Prime factors of 47845 are 5, 7, 1367. Prime factorization of 47845 in exponential form is:

47845 = 5¹ × 7¹ × 1367¹

Step-3: Factors of 47828

List of positive integer factors of 47828 that divides 47828 without a remainder.

1, 2, 4, 11, 22, 44, 1087, 2174, 4348, 11957, 23914

Step-4: Factors of 47845

List of positive integer factors of 47845 that divides 47828 without a remainder.

1, 5, 7, 35, 1367, 6835, 9569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47828 and 47845. The biggest common factor number is the GCF number.
So the greatest common factor 47828 and 47845 is 1.

Also check out the Least Common Multiple of 47828 and 47845