What is the Greatest Common Factor of 80290 and 80305?

Greatest common factor (GCF) of 80290 and 80305 is 5.

GCF(80290,80305) = 5

We will now calculate the prime factors of 80290 and 80305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80290 and 80305.

How to find the GCF of 80290 and 80305?

We will first find the prime factorization of 80290 and 80305. After we will calculate the factors of 80290 and 80305 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 80305

Prime factors of 80305 are 5, 16061. Prime factorization of 80305 in exponential form is:

80305 = 5¹ × 16061¹

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 80305

List of positive integer factors of 80305 that divides 80290 without a remainder.

1, 5, 16061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80290 and 80305. The biggest common factor number is the GCF number.
So the greatest common factor 80290 and 80305 is 5.

Also check out the Least Common Multiple of 80290 and 80305