What is the Greatest Common Factor of 8034 and 8042?

Greatest common factor (GCF) of 8034 and 8042 is 2.

GCF(8034,8042) = 2

We will now calculate the prime factors of 8034 and 8042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8034 and 8042.

How to find the GCF of 8034 and 8042?

We will first find the prime factorization of 8034 and 8042. After we will calculate the factors of 8034 and 8042 and find the biggest common factor number .

Step-1: Prime Factorization of 8034

Prime factors of 8034 are 2, 3, 13, 103. Prime factorization of 8034 in exponential form is:

8034 = 2¹ × 3¹ × 13¹ × 103¹

Step-2: Prime Factorization of 8042

Prime factors of 8042 are 2, 4021. Prime factorization of 8042 in exponential form is:

8042 = 2¹ × 4021¹

Step-3: Factors of 8034

List of positive integer factors of 8034 that divides 8034 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017

Step-4: Factors of 8042

List of positive integer factors of 8042 that divides 8034 without a remainder.

1, 2, 4021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8034 and 8042. The biggest common factor number is the GCF number.
So the greatest common factor 8034 and 8042 is 2.

Also check out the Least Common Multiple of 8034 and 8042