What is the Greatest Common Factor of 47705 and 47715?

Greatest common factor (GCF) of 47705 and 47715 is 5.

GCF(47705,47715) = 5

We will now calculate the prime factors of 47705 and 47715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47705 and 47715.

How to find the GCF of 47705 and 47715?

We will first find the prime factorization of 47705 and 47715. After we will calculate the factors of 47705 and 47715 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 47715

Prime factors of 47715 are 3, 5, 3181. Prime factorization of 47715 in exponential form is:

47715 = 3¹ × 5¹ × 3181¹

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 47715

List of positive integer factors of 47715 that divides 47705 without a remainder.

1, 3, 5, 15, 3181, 9543, 15905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47705 and 47715. The biggest common factor number is the GCF number.
So the greatest common factor 47705 and 47715 is 5.

Also check out the Least Common Multiple of 47705 and 47715