What is the Greatest Common Factor of 80290 and 80310?

Greatest common factor (GCF) of 80290 and 80310 is 10.

GCF(80290,80310) = 10

We will now calculate the prime factors of 80290 and 80310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80290 and 80310.

How to find the GCF of 80290 and 80310?

We will first find the prime factorization of 80290 and 80310. After we will calculate the factors of 80290 and 80310 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 80310

Prime factors of 80310 are 2, 3, 5, 2677. Prime factorization of 80310 in exponential form is:

80310 = 2¹ × 3¹ × 5¹ × 2677¹

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 80310

List of positive integer factors of 80310 that divides 80290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2677, 5354, 8031, 13385, 16062, 26770, 40155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80290 and 80310. The biggest common factor number is the GCF number.
So the greatest common factor 80290 and 80310 is 10.

Also check out the Least Common Multiple of 80290 and 80310