What is the Greatest Common Factor of 80290 and 80309?

Greatest common factor (GCF) of 80290 and 80309 is 1.

GCF(80290,80309) = 1

We will now calculate the prime factors of 80290 and 80309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80290 and 80309.

How to find the GCF of 80290 and 80309?

We will first find the prime factorization of 80290 and 80309. After we will calculate the factors of 80290 and 80309 and find the biggest common factor number .

Step-1: Prime Factorization of 80290

Prime factors of 80290 are 2, 5, 7, 31, 37. Prime factorization of 80290 in exponential form is:

80290 = 2¹ × 5¹ × 7¹ × 31¹ × 37¹

Step-2: Prime Factorization of 80309

Prime factors of 80309 are 80309. Prime factorization of 80309 in exponential form is:

80309 = 80309¹

Step-3: Factors of 80290

List of positive integer factors of 80290 that divides 80290 without a remainder.

1, 2, 5, 7, 10, 14, 31, 35, 37, 62, 70, 74, 155, 185, 217, 259, 310, 370, 434, 518, 1085, 1147, 1295, 2170, 2294, 2590, 5735, 8029, 11470, 16058, 40145

Step-4: Factors of 80309

List of positive integer factors of 80309 that divides 80290 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80290 and 80309. The biggest common factor number is the GCF number.
So the greatest common factor 80290 and 80309 is 1.

Also check out the Least Common Multiple of 80290 and 80309