What is the Greatest Common Factor of 80053 and 80071?

Greatest common factor (GCF) of 80053 and 80071 is 1.

GCF(80053,80071) = 1

We will now calculate the prime factors of 80053 and 80071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80053 and 80071.

How to find the GCF of 80053 and 80071?

We will first find the prime factorization of 80053 and 80071. After we will calculate the factors of 80053 and 80071 and find the biggest common factor number .

Step-1: Prime Factorization of 80053

Prime factors of 80053 are 17, 277. Prime factorization of 80053 in exponential form is:

80053 = 17² × 277¹

Step-2: Prime Factorization of 80071

Prime factors of 80071 are 80071. Prime factorization of 80071 in exponential form is:

80071 = 80071¹

Step-3: Factors of 80053

List of positive integer factors of 80053 that divides 80053 without a remainder.

1, 17, 277, 289, 4709

Step-4: Factors of 80071

List of positive integer factors of 80071 that divides 80053 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80053 and 80071. The biggest common factor number is the GCF number.
So the greatest common factor 80053 and 80071 is 1.

Also check out the Least Common Multiple of 80053 and 80071