What is the Greatest Common Factor of 80049 and 80053?

Greatest common factor (GCF) of 80049 and 80053 is 1.

GCF(80049,80053) = 1

We will now calculate the prime factors of 80049 and 80053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80049 and 80053.

How to find the GCF of 80049 and 80053?

We will first find the prime factorization of 80049 and 80053. After we will calculate the factors of 80049 and 80053 and find the biggest common factor number .

Step-1: Prime Factorization of 80049

Prime factors of 80049 are 3, 26683. Prime factorization of 80049 in exponential form is:

80049 = 3¹ × 26683¹

Step-2: Prime Factorization of 80053

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

80053 = 17² × 277¹

Step-3: Factors of 80049

List of positive integer factors of 80049 that divides 80049 without a remainder.

1, 3, 26683

Step-4: Factors of 80053

List of positive integer factors of 80053 that divides 80049 without a remainder.

1, 17, 277, 289, 4709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80049 and 80053. The biggest common factor number is the GCF number.
So the greatest common factor 80049 and 80053 is 1.

Also check out the Least Common Multiple of 80049 and 80053