What is the Greatest Common Factor of 47415 and 47423?

Greatest common factor (GCF) of 47415 and 47423 is 1.

GCF(47415,47423) = 1

We will now calculate the prime factors of 47415 and 47423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47415 and 47423.

How to find the GCF of 47415 and 47423?

We will first find the prime factorization of 47415 and 47423. After we will calculate the factors of 47415 and 47423 and find the biggest common factor number .

Step-1: Prime Factorization of 47415

Prime factors of 47415 are 3, 5, 29, 109. Prime factorization of 47415 in exponential form is:

47415 = 3¹ × 5¹ × 29¹ × 109¹

Step-2: Prime Factorization of 47423

Prime factors of 47423 are 47, 1009. Prime factorization of 47423 in exponential form is:

47423 = 47¹ × 1009¹

Step-3: Factors of 47415

List of positive integer factors of 47415 that divides 47415 without a remainder.

1, 3, 5, 15, 29, 87, 109, 145, 327, 435, 545, 1635, 3161, 9483, 15805

Step-4: Factors of 47423

List of positive integer factors of 47423 that divides 47415 without a remainder.

1, 47, 1009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47415 and 47423. The biggest common factor number is the GCF number.
So the greatest common factor 47415 and 47423 is 1.

Also check out the Least Common Multiple of 47415 and 47423