What is the Greatest Common Factor of 23429 and 23448?

Greatest common factor (GCF) of 23429 and 23448 is 1.

GCF(23429,23448) = 1

We will now calculate the prime factors of 23429 and 23448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23429 and 23448.

How to find the GCF of 23429 and 23448?

We will first find the prime factorization of 23429 and 23448. After we will calculate the factors of 23429 and 23448 and find the biggest common factor number .

Step-1: Prime Factorization of 23429

Prime factors of 23429 are 7, 3347. Prime factorization of 23429 in exponential form is:

23429 = 7¹ × 3347¹

Step-2: Prime Factorization of 23448

Prime factors of 23448 are 2, 3, 977. Prime factorization of 23448 in exponential form is:

23448 = 2³ × 3¹ × 977¹

Step-3: Factors of 23429

List of positive integer factors of 23429 that divides 23429 without a remainder.

1, 7, 3347

Step-4: Factors of 23448

List of positive integer factors of 23448 that divides 23429 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 977, 1954, 2931, 3908, 5862, 7816, 11724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23429 and 23448. The biggest common factor number is the GCF number.
So the greatest common factor 23429 and 23448 is 1.

Also check out the Least Common Multiple of 23429 and 23448