What is the Greatest Common Factor of 8142 and 8151?

Greatest common factor (GCF) of 8142 and 8151 is 3.

GCF(8142,8151) = 3

We will now calculate the prime factors of 8142 and 8151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8142 and 8151.

How to find the GCF of 8142 and 8151?

We will first find the prime factorization of 8142 and 8151. After we will calculate the factors of 8142 and 8151 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8151

Prime factors of 8151 are 3, 11, 13, 19. Prime factorization of 8151 in exponential form is:

8151 = 3¹ × 11¹ × 13¹ × 19¹

Step-3: Factors of 8142

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

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

Step-4: Factors of 8151

List of positive integer factors of 8151 that divides 8142 without a remainder.

1, 3, 11, 13, 19, 33, 39, 57, 143, 209, 247, 429, 627, 741, 2717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8142 and 8151. The biggest common factor number is the GCF number.
So the greatest common factor 8142 and 8151 is 3.

Also check out the Least Common Multiple of 8142 and 8151