What is the Greatest Common Factor of 8176 and 8182?

Greatest common factor (GCF) of 8176 and 8182 is 2.

GCF(8176,8182) = 2

We will now calculate the prime factors of 8176 and 8182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8176 and 8182.

How to find the GCF of 8176 and 8182?

We will first find the prime factorization of 8176 and 8182. After we will calculate the factors of 8176 and 8182 and find the biggest common factor number .

Step-1: Prime Factorization of 8176

Prime factors of 8176 are 2, 7, 73. Prime factorization of 8176 in exponential form is:

8176 = 2⁴ × 7¹ × 73¹

Step-2: Prime Factorization of 8182

Prime factors of 8182 are 2, 4091. Prime factorization of 8182 in exponential form is:

8182 = 2¹ × 4091¹

Step-3: Factors of 8176

List of positive integer factors of 8176 that divides 8176 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 73, 112, 146, 292, 511, 584, 1022, 1168, 2044, 4088

Step-4: Factors of 8182

List of positive integer factors of 8182 that divides 8176 without a remainder.

1, 2, 4091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8176 and 8182. The biggest common factor number is the GCF number.
So the greatest common factor 8176 and 8182 is 2.

Also check out the Least Common Multiple of 8176 and 8182