What is the Greatest Common Factor of 47935 and 47955?

Greatest common factor (GCF) of 47935 and 47955 is 5.

GCF(47935,47955) = 5

We will now calculate the prime factors of 47935 and 47955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47935 and 47955.

How to find the GCF of 47935 and 47955?

We will first find the prime factorization of 47935 and 47955. After we will calculate the factors of 47935 and 47955 and find the biggest common factor number .

Step-1: Prime Factorization of 47935

Prime factors of 47935 are 5, 9587. Prime factorization of 47935 in exponential form is:

47935 = 5¹ × 9587¹

Step-2: Prime Factorization of 47955

Prime factors of 47955 are 3, 5, 23, 139. Prime factorization of 47955 in exponential form is:

47955 = 3¹ × 5¹ × 23¹ × 139¹

Step-3: Factors of 47935

List of positive integer factors of 47935 that divides 47935 without a remainder.

1, 5, 9587

Step-4: Factors of 47955

List of positive integer factors of 47955 that divides 47935 without a remainder.

1, 3, 5, 15, 23, 69, 115, 139, 345, 417, 695, 2085, 3197, 9591, 15985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47935 and 47955. The biggest common factor number is the GCF number.
So the greatest common factor 47935 and 47955 is 5.

Also check out the Least Common Multiple of 47935 and 47955