What is the Greatest Common Factor of 80142 and 80158?

Greatest common factor (GCF) of 80142 and 80158 is 2.

GCF(80142,80158) = 2

We will now calculate the prime factors of 80142 and 80158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80142 and 80158.

How to find the GCF of 80142 and 80158?

We will first find the prime factorization of 80142 and 80158. After we will calculate the factors of 80142 and 80158 and find the biggest common factor number .

Step-1: Prime Factorization of 80142

Prime factors of 80142 are 2, 3, 19, 37. Prime factorization of 80142 in exponential form is:

80142 = 2¹ × 3¹ × 19² × 37¹

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 80142

List of positive integer factors of 80142 that divides 80142 without a remainder.

1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 361, 703, 722, 1083, 1406, 2109, 2166, 4218, 13357, 26714, 40071

Step-4: Factors of 80158

List of positive integer factors of 80158 that divides 80142 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80142 and 80158. The biggest common factor number is the GCF number.
So the greatest common factor 80142 and 80158 is 2.

Also check out the Least Common Multiple of 80142 and 80158