What is the Greatest Common Factor of 15008 and 15023?

Greatest common factor (GCF) of 15008 and 15023 is 1.

GCF(15008,15023) = 1

We will now calculate the prime factors of 15008 and 15023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15008 and 15023.

How to find the GCF of 15008 and 15023?

We will first find the prime factorization of 15008 and 15023. After we will calculate the factors of 15008 and 15023 and find the biggest common factor number .

Step-1: Prime Factorization of 15008

Prime factors of 15008 are 2, 7, 67. Prime factorization of 15008 in exponential form is:

15008 = 2⁵ × 7¹ × 67¹

Step-2: Prime Factorization of 15023

Prime factors of 15023 are 83, 181. Prime factorization of 15023 in exponential form is:

15023 = 83¹ × 181¹

Step-3: Factors of 15008

List of positive integer factors of 15008 that divides 15008 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 67, 112, 134, 224, 268, 469, 536, 938, 1072, 1876, 2144, 3752, 7504

Step-4: Factors of 15023

List of positive integer factors of 15023 that divides 15008 without a remainder.

1, 83, 181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15008 and 15023. The biggest common factor number is the GCF number.
So the greatest common factor 15008 and 15023 is 1.

Also check out the Least Common Multiple of 15008 and 15023