What is the Greatest Common Factor of 8134 and 8142?

Greatest common factor (GCF) of 8134 and 8142 is 2.

GCF(8134,8142) = 2

We will now calculate the prime factors of 8134 and 8142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8134 and 8142.

How to find the GCF of 8134 and 8142?

We will first find the prime factorization of 8134 and 8142. After we will calculate the factors of 8134 and 8142 and find the biggest common factor number .

Step-1: Prime Factorization of 8134

Prime factors of 8134 are 2, 7, 83. Prime factorization of 8134 in exponential form is:

8134 = 2¹ × 7² × 83¹

Step-2: Prime Factorization of 8142

Prime factors of 8142 are 2, 3, 23, 59. Prime factorization of 8142 in exponential form is:

8142 = 2¹ × 3¹ × 23¹ × 59¹

Step-3: Factors of 8134

List of positive integer factors of 8134 that divides 8134 without a remainder.

1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067

Step-4: Factors of 8142

List of positive integer factors of 8142 that divides 8134 without a remainder.

1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8134 and 8142. The biggest common factor number is the GCF number.
So the greatest common factor 8134 and 8142 is 2.

Also check out the Least Common Multiple of 8134 and 8142