What is the Greatest Common Factor of 14072 and 14089?

Greatest common factor (GCF) of 14072 and 14089 is 1.

GCF(14072,14089) = 1

We will now calculate the prime factors of 14072 and 14089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14072 and 14089.

How to find the GCF of 14072 and 14089?

We will first find the prime factorization of 14072 and 14089. After we will calculate the factors of 14072 and 14089 and find the biggest common factor number .

Step-1: Prime Factorization of 14072

Prime factors of 14072 are 2, 1759. Prime factorization of 14072 in exponential form is:

14072 = 2³ × 1759¹

Step-2: Prime Factorization of 14089

Prime factors of 14089 are 73, 193. Prime factorization of 14089 in exponential form is:

14089 = 73¹ × 193¹

Step-3: Factors of 14072

List of positive integer factors of 14072 that divides 14072 without a remainder.

1, 2, 4, 8, 1759, 3518, 7036

Step-4: Factors of 14089

List of positive integer factors of 14089 that divides 14072 without a remainder.

1, 73, 193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14072 and 14089. The biggest common factor number is the GCF number.
So the greatest common factor 14072 and 14089 is 1.

Also check out the Least Common Multiple of 14072 and 14089