What is the Greatest Common Factor of 47705 and 47719?

Greatest common factor (GCF) of 47705 and 47719 is 7.

GCF(47705,47719) = 7

We will now calculate the prime factors of 47705 and 47719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47705 and 47719.

How to find the GCF of 47705 and 47719?

We will first find the prime factorization of 47705 and 47719. After we will calculate the factors of 47705 and 47719 and find the biggest common factor number .

Step-1: Prime Factorization of 47705

Prime factors of 47705 are 5, 7, 29, 47. Prime factorization of 47705 in exponential form is:

47705 = 5¹ × 7¹ × 29¹ × 47¹

Step-2: Prime Factorization of 47719

Prime factors of 47719 are 7, 17, 401. Prime factorization of 47719 in exponential form is:

47719 = 7¹ × 17¹ × 401¹

Step-3: Factors of 47705

List of positive integer factors of 47705 that divides 47705 without a remainder.

1, 5, 7, 29, 35, 47, 145, 203, 235, 329, 1015, 1363, 1645, 6815, 9541

Step-4: Factors of 47719

List of positive integer factors of 47719 that divides 47705 without a remainder.

1, 7, 17, 119, 401, 2807, 6817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47705 and 47719. The biggest common factor number is the GCF number.
So the greatest common factor 47705 and 47719 is 7.

Also check out the Least Common Multiple of 47705 and 47719