What is the Greatest Common Factor of 53168 and 53174?

Greatest common factor (GCF) of 53168 and 53174 is 2.

GCF(53168,53174) = 2

We will now calculate the prime factors of 53168 and 53174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53168 and 53174.

How to find the GCF of 53168 and 53174?

We will first find the prime factorization of 53168 and 53174. After we will calculate the factors of 53168 and 53174 and find the biggest common factor number .

Step-1: Prime Factorization of 53168

Prime factors of 53168 are 2, 3323. Prime factorization of 53168 in exponential form is:

53168 = 2⁴ × 3323¹

Step-2: Prime Factorization of 53174

Prime factors of 53174 are 2, 11, 2417. Prime factorization of 53174 in exponential form is:

53174 = 2¹ × 11¹ × 2417¹

Step-3: Factors of 53168

List of positive integer factors of 53168 that divides 53168 without a remainder.

1, 2, 4, 8, 16, 3323, 6646, 13292, 26584

Step-4: Factors of 53174

List of positive integer factors of 53174 that divides 53168 without a remainder.

1, 2, 11, 22, 2417, 4834, 26587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53168 and 53174. The biggest common factor number is the GCF number.
So the greatest common factor 53168 and 53174 is 2.

Also check out the Least Common Multiple of 53168 and 53174