What is the Greatest Common Factor of 80145 and 80158?

Greatest common factor (GCF) of 80145 and 80158 is 13.

GCF(80145,80158) = 13

We will now calculate the prime factors of 80145 and 80158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80145 and 80158.

How to find the GCF of 80145 and 80158?

We will first find the prime factorization of 80145 and 80158. After we will calculate the factors of 80145 and 80158 and find the biggest common factor number .

Step-1: Prime Factorization of 80145

Prime factors of 80145 are 3, 5, 13, 137. Prime factorization of 80145 in exponential form is:

80145 = 3² × 5¹ × 13¹ × 137¹

Step-2: Prime Factorization of 80158

Prime factors of 80158 are 2, 13, 3083. Prime factorization of 80158 in exponential form is:

80158 = 2¹ × 13¹ × 3083¹

Step-3: Factors of 80145

List of positive integer factors of 80145 that divides 80145 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 137, 195, 411, 585, 685, 1233, 1781, 2055, 5343, 6165, 8905, 16029, 26715

Step-4: Factors of 80158

List of positive integer factors of 80158 that divides 80145 without a remainder.

1, 2, 13, 26, 3083, 6166, 40079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80145 and 80158. The biggest common factor number is the GCF number.
So the greatest common factor 80145 and 80158 is 13.

Also check out the Least Common Multiple of 80145 and 80158