What is the Greatest Common Factor of 15008 and 15014?

Greatest common factor (GCF) of 15008 and 15014 is 2.

GCF(15008,15014) = 2

We will now calculate the prime factors of 15008 and 15014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15008 and 15014.

How to find the GCF of 15008 and 15014?

We will first find the prime factorization of 15008 and 15014. After we will calculate the factors of 15008 and 15014 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 15014

Prime factors of 15014 are 2, 7507. Prime factorization of 15014 in exponential form is:

15014 = 2¹ × 7507¹

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 15014

List of positive integer factors of 15014 that divides 15008 without a remainder.

1, 2, 7507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15008 and 15014. The biggest common factor number is the GCF number.
So the greatest common factor 15008 and 15014 is 2.

Also check out the Least Common Multiple of 15008 and 15014