What is the Greatest Common Factor of 8174 and 8188?

Greatest common factor (GCF) of 8174 and 8188 is 2.

GCF(8174,8188) = 2

We will now calculate the prime factors of 8174 and 8188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8174 and 8188.

How to find the GCF of 8174 and 8188?

We will first find the prime factorization of 8174 and 8188. After we will calculate the factors of 8174 and 8188 and find the biggest common factor number .

Step-1: Prime Factorization of 8174

Prime factors of 8174 are 2, 61, 67. Prime factorization of 8174 in exponential form is:

8174 = 2¹ × 61¹ × 67¹

Step-2: Prime Factorization of 8188

Prime factors of 8188 are 2, 23, 89. Prime factorization of 8188 in exponential form is:

8188 = 2² × 23¹ × 89¹

Step-3: Factors of 8174

List of positive integer factors of 8174 that divides 8174 without a remainder.

1, 2, 61, 67, 122, 134, 4087

Step-4: Factors of 8188

List of positive integer factors of 8188 that divides 8174 without a remainder.

1, 2, 4, 23, 46, 89, 92, 178, 356, 2047, 4094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8174 and 8188. The biggest common factor number is the GCF number.
So the greatest common factor 8174 and 8188 is 2.

Also check out the Least Common Multiple of 8174 and 8188