What is the Greatest Common Factor of 80300 and 80313?

Greatest common factor (GCF) of 80300 and 80313 is 1.

GCF(80300,80313) = 1

We will now calculate the prime factors of 80300 and 80313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80300 and 80313.

How to find the GCF of 80300 and 80313?

We will first find the prime factorization of 80300 and 80313. After we will calculate the factors of 80300 and 80313 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 80313

Prime factors of 80313 are 3, 19, 1409. Prime factorization of 80313 in exponential form is:

80313 = 3¹ × 19¹ × 1409¹

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 80313

List of positive integer factors of 80313 that divides 80300 without a remainder.

1, 3, 19, 57, 1409, 4227, 26771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80300 and 80313. The biggest common factor number is the GCF number.
So the greatest common factor 80300 and 80313 is 1.

Also check out the Least Common Multiple of 80300 and 80313