What is the Greatest Common Factor of 80271 and 80280?

Greatest common factor (GCF) of 80271 and 80280 is 9.

GCF(80271,80280) = 9

We will now calculate the prime factors of 80271 and 80280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80271 and 80280.

How to find the GCF of 80271 and 80280?

We will first find the prime factorization of 80271 and 80280. After we will calculate the factors of 80271 and 80280 and find the biggest common factor number .

Step-1: Prime Factorization of 80271

Prime factors of 80271 are 3, 991. Prime factorization of 80271 in exponential form is:

80271 = 3⁴ × 991¹

Step-2: Prime Factorization of 80280

Prime factors of 80280 are 2, 3, 5, 223. Prime factorization of 80280 in exponential form is:

80280 = 2³ × 3² × 5¹ × 223¹

Step-3: Factors of 80271

List of positive integer factors of 80271 that divides 80271 without a remainder.

1, 3, 9, 27, 81, 991, 2973, 8919, 26757

Step-4: Factors of 80280

List of positive integer factors of 80280 that divides 80271 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 223, 360, 446, 669, 892, 1115, 1338, 1784, 2007, 2230, 2676, 3345, 4014, 4460, 5352, 6690, 8028, 8920, 10035, 13380, 16056, 20070, 26760, 40140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80271 and 80280. The biggest common factor number is the GCF number.
So the greatest common factor 80271 and 80280 is 9.

Also check out the Least Common Multiple of 80271 and 80280