What is the Greatest Common Factor of 80053 and 80067?

Greatest common factor (GCF) of 80053 and 80067 is 1.

GCF(80053,80067) = 1

We will now calculate the prime factors of 80053 and 80067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80053 and 80067.

How to find the GCF of 80053 and 80067?

We will first find the prime factorization of 80053 and 80067. After we will calculate the factors of 80053 and 80067 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 80067

Prime factors of 80067 are 3, 13, 2053. Prime factorization of 80067 in exponential form is:

80067 = 3¹ × 13¹ × 2053¹

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 80067

List of positive integer factors of 80067 that divides 80053 without a remainder.

1, 3, 13, 39, 2053, 6159, 26689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80053 and 80067. The biggest common factor number is the GCF number.
So the greatest common factor 80053 and 80067 is 1.

Also check out the Least Common Multiple of 80053 and 80067