What is the Greatest Common Factor of 14989 and 15008?

Greatest common factor (GCF) of 14989 and 15008 is 1.

GCF(14989,15008) = 1

We will now calculate the prime factors of 14989 and 15008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14989 and 15008.

How to find the GCF of 14989 and 15008?

We will first find the prime factorization of 14989 and 15008. After we will calculate the factors of 14989 and 15008 and find the biggest common factor number .

Step-1: Prime Factorization of 14989

Prime factors of 14989 are 13, 1153. Prime factorization of 14989 in exponential form is:

14989 = 13¹ × 1153¹

Step-2: 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-3: Factors of 14989

List of positive integer factors of 14989 that divides 14989 without a remainder.

1, 13, 1153

Step-4: Factors of 15008

List of positive integer factors of 15008 that divides 14989 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14989 and 15008. The biggest common factor number is the GCF number.
So the greatest common factor 14989 and 15008 is 1.

Also check out the Least Common Multiple of 14989 and 15008