What is the Greatest Common Factor of 7168 and 7182?

Greatest common factor (GCF) of 7168 and 7182 is 14.

GCF(7168,7182) = 14

We will now calculate the prime factors of 7168 and 7182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7168 and 7182.

How to find the GCF of 7168 and 7182?

We will first find the prime factorization of 7168 and 7182. After we will calculate the factors of 7168 and 7182 and find the biggest common factor number .

Step-1: Prime Factorization of 7168

Prime factors of 7168 are 2, 7. Prime factorization of 7168 in exponential form is:

7168 = 2¹⁰ × 7¹

Step-2: Prime Factorization of 7182

Prime factors of 7182 are 2, 3, 7, 19. Prime factorization of 7182 in exponential form is:

7182 = 2¹ × 3³ × 7¹ × 19¹

Step-3: Factors of 7168

List of positive integer factors of 7168 that divides 7168 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584

Step-4: Factors of 7182

List of positive integer factors of 7182 that divides 7168 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 114, 126, 133, 171, 189, 266, 342, 378, 399, 513, 798, 1026, 1197, 2394, 3591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7168 and 7182. The biggest common factor number is the GCF number.
So the greatest common factor 7168 and 7182 is 14.

Also check out the Least Common Multiple of 7168 and 7182