What is the Greatest Common Factor of 80138 and 80142?

Greatest common factor (GCF) of 80138 and 80142 is 2.

GCF(80138,80142) = 2

We will now calculate the prime factors of 80138 and 80142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80138 and 80142.

How to find the GCF of 80138 and 80142?

We will first find the prime factorization of 80138 and 80142. After we will calculate the factors of 80138 and 80142 and find the biggest common factor number .

Step-1: Prime Factorization of 80138

Prime factors of 80138 are 2, 17, 2357. Prime factorization of 80138 in exponential form is:

80138 = 2¹ × 17¹ × 2357¹

Step-2: 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-3: Factors of 80138

List of positive integer factors of 80138 that divides 80138 without a remainder.

1, 2, 17, 34, 2357, 4714, 40069

Step-4: Factors of 80142

List of positive integer factors of 80142 that divides 80138 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80138 and 80142. The biggest common factor number is the GCF number.
So the greatest common factor 80138 and 80142 is 2.

Also check out the Least Common Multiple of 80138 and 80142