What is the Greatest Common Factor of 47414 and 47427?

Greatest common factor (GCF) of 47414 and 47427 is 1.

GCF(47414,47427) = 1

We will now calculate the prime factors of 47414 and 47427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47414 and 47427.

How to find the GCF of 47414 and 47427?

We will first find the prime factorization of 47414 and 47427. After we will calculate the factors of 47414 and 47427 and find the biggest common factor number .

Step-1: Prime Factorization of 47414

Prime factors of 47414 are 2, 151, 157. Prime factorization of 47414 in exponential form is:

47414 = 2¹ × 151¹ × 157¹

Step-2: Prime Factorization of 47427

Prime factors of 47427 are 3, 15809. Prime factorization of 47427 in exponential form is:

47427 = 3¹ × 15809¹

Step-3: Factors of 47414

List of positive integer factors of 47414 that divides 47414 without a remainder.

1, 2, 151, 157, 302, 314, 23707

Step-4: Factors of 47427

List of positive integer factors of 47427 that divides 47414 without a remainder.

1, 3, 15809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47414 and 47427. The biggest common factor number is the GCF number.
So the greatest common factor 47414 and 47427 is 1.

Also check out the Least Common Multiple of 47414 and 47427