What is the Greatest Common Factor of 7175 and 7182?

Greatest common factor (GCF) of 7175 and 7182 is 7.

GCF(7175,7182) = 7

We will now calculate the prime factors of 7175 and 7182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7175 and 7182.

How to find the GCF of 7175 and 7182?

We will first find the prime factorization of 7175 and 7182. After we will calculate the factors of 7175 and 7182 and find the biggest common factor number .

Step-1: Prime Factorization of 7175

Prime factors of 7175 are 5, 7, 41. Prime factorization of 7175 in exponential form is:

7175 = 5² × 7¹ × 41¹

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 7175

List of positive integer factors of 7175 that divides 7175 without a remainder.

1, 5, 7, 25, 35, 41, 175, 205, 287, 1025, 1435

Step-4: Factors of 7182

List of positive integer factors of 7182 that divides 7175 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 7175 and 7182. The biggest common factor number is the GCF number.
So the greatest common factor 7175 and 7182 is 7.

Also check out the Least Common Multiple of 7175 and 7182