What is the Greatest Common Factor of 8234 and 8254?

Greatest common factor (GCF) of 8234 and 8254 is 2.

GCF(8234,8254) = 2

We will now calculate the prime factors of 8234 and 8254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8234 and 8254.

How to find the GCF of 8234 and 8254?

We will first find the prime factorization of 8234 and 8254. After we will calculate the factors of 8234 and 8254 and find the biggest common factor number .

Step-1: Prime Factorization of 8234

Prime factors of 8234 are 2, 23, 179. Prime factorization of 8234 in exponential form is:

8234 = 2¹ × 23¹ × 179¹

Step-2: Prime Factorization of 8254

Prime factors of 8254 are 2, 4127. Prime factorization of 8254 in exponential form is:

8254 = 2¹ × 4127¹

Step-3: Factors of 8234

List of positive integer factors of 8234 that divides 8234 without a remainder.

1, 2, 23, 46, 179, 358, 4117

Step-4: Factors of 8254

List of positive integer factors of 8254 that divides 8234 without a remainder.

1, 2, 4127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8234 and 8254. The biggest common factor number is the GCF number.
So the greatest common factor 8234 and 8254 is 2.

Also check out the Least Common Multiple of 8234 and 8254