What is the Greatest Common Factor of 47414 and 47421?

Greatest common factor (GCF) of 47414 and 47421 is 1.

GCF(47414,47421) = 1

We will now calculate the prime factors of 47414 and 47421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47414 and 47421.

How to find the GCF of 47414 and 47421?

We will first find the prime factorization of 47414 and 47421. After we will calculate the factors of 47414 and 47421 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 47421

Prime factors of 47421 are 3, 11, 479. Prime factorization of 47421 in exponential form is:

47421 = 3² × 11¹ × 479¹

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 47421

List of positive integer factors of 47421 that divides 47414 without a remainder.

1, 3, 9, 11, 33, 99, 479, 1437, 4311, 5269, 15807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47414 and 47421. The biggest common factor number is the GCF number.
So the greatest common factor 47414 and 47421 is 1.

Also check out the Least Common Multiple of 47414 and 47421