What is the Greatest Common Factor of 14992 and 15011?

Greatest common factor (GCF) of 14992 and 15011 is 1.

GCF(14992,15011) = 1

We will now calculate the prime factors of 14992 and 15011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14992 and 15011.

How to find the GCF of 14992 and 15011?

We will first find the prime factorization of 14992 and 15011. After we will calculate the factors of 14992 and 15011 and find the biggest common factor number .

Step-1: Prime Factorization of 14992

Prime factors of 14992 are 2, 937. Prime factorization of 14992 in exponential form is:

14992 = 2⁴ × 937¹

Step-2: Prime Factorization of 15011

Prime factors of 15011 are 17, 883. Prime factorization of 15011 in exponential form is:

15011 = 17¹ × 883¹

Step-3: Factors of 14992

List of positive integer factors of 14992 that divides 14992 without a remainder.

1, 2, 4, 8, 16, 937, 1874, 3748, 7496

Step-4: Factors of 15011

List of positive integer factors of 15011 that divides 14992 without a remainder.

1, 17, 883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14992 and 15011. The biggest common factor number is the GCF number.
So the greatest common factor 14992 and 15011 is 1.

Also check out the Least Common Multiple of 14992 and 15011