What is the Greatest Common Factor of 23029 and 23048?

Greatest common factor (GCF) of 23029 and 23048 is 1.

GCF(23029,23048) = 1

We will now calculate the prime factors of 23029 and 23048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23029 and 23048.

How to find the GCF of 23029 and 23048?

We will first find the prime factorization of 23029 and 23048. After we will calculate the factors of 23029 and 23048 and find the biggest common factor number .

Step-1: Prime Factorization of 23029

Prime factors of 23029 are 23029. Prime factorization of 23029 in exponential form is:

23029 = 23029¹

Step-2: Prime Factorization of 23048

Prime factors of 23048 are 2, 43, 67. Prime factorization of 23048 in exponential form is:

23048 = 2³ × 43¹ × 67¹

Step-3: Factors of 23029

List of positive integer factors of 23029 that divides 23029 without a remainder.

Step-4: Factors of 23048

List of positive integer factors of 23048 that divides 23029 without a remainder.

1, 2, 4, 8, 43, 67, 86, 134, 172, 268, 344, 536, 2881, 5762, 11524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23029 and 23048. The biggest common factor number is the GCF number.
So the greatest common factor 23029 and 23048 is 1.

Also check out the Least Common Multiple of 23029 and 23048