What is the Greatest Common Factor of 80278 and 80290?

Greatest common factor (GCF) of 80278 and 80290 is 2.

GCF(80278,80290) = 2

We will now calculate the prime factors of 80278 and 80290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80278 and 80290.

How to find the GCF of 80278 and 80290?

We will first find the prime factorization of 80278 and 80290. After we will calculate the factors of 80278 and 80290 and find the biggest common factor number .

Step-1: Prime Factorization of 80278

Prime factors of 80278 are 2, 11, 41, 89. Prime factorization of 80278 in exponential form is:

80278 = 2¹ × 11¹ × 41¹ × 89¹

Step-2: 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-3: Factors of 80278

List of positive integer factors of 80278 that divides 80278 without a remainder.

1, 2, 11, 22, 41, 82, 89, 178, 451, 902, 979, 1958, 3649, 7298, 40139

Step-4: Factors of 80290

List of positive integer factors of 80290 that divides 80278 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80278 and 80290. The biggest common factor number is the GCF number.
So the greatest common factor 80278 and 80290 is 2.

Also check out the Least Common Multiple of 80278 and 80290