What is the Greatest Common Factor of 80300 and 80311?

Greatest common factor (GCF) of 80300 and 80311 is 11.

GCF(80300,80311) = 11

We will now calculate the prime factors of 80300 and 80311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80300 and 80311.

How to find the GCF of 80300 and 80311?

We will first find the prime factorization of 80300 and 80311. After we will calculate the factors of 80300 and 80311 and find the biggest common factor number .

Step-1: Prime Factorization of 80300

Prime factors of 80300 are 2, 5, 11, 73. Prime factorization of 80300 in exponential form is:

80300 = 2² × 5² × 11¹ × 73¹

Step-2: Prime Factorization of 80311

Prime factors of 80311 are 7, 11, 149. Prime factorization of 80311 in exponential form is:

80311 = 7² × 11¹ × 149¹

Step-3: Factors of 80300

List of positive integer factors of 80300 that divides 80300 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 73, 100, 110, 146, 220, 275, 292, 365, 550, 730, 803, 1100, 1460, 1606, 1825, 3212, 3650, 4015, 7300, 8030, 16060, 20075, 40150

Step-4: Factors of 80311

List of positive integer factors of 80311 that divides 80300 without a remainder.

1, 7, 11, 49, 77, 149, 539, 1043, 1639, 7301, 11473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80300 and 80311. The biggest common factor number is the GCF number.
So the greatest common factor 80300 and 80311 is 11.

Also check out the Least Common Multiple of 80300 and 80311