What is the Greatest Common Factor of 53304 and 53314?

Greatest common factor (GCF) of 53304 and 53314 is 2.

GCF(53304,53314) = 2

We will now calculate the prime factors of 53304 and 53314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53304 and 53314.

How to find the GCF of 53304 and 53314?

We will first find the prime factorization of 53304 and 53314. After we will calculate the factors of 53304 and 53314 and find the biggest common factor number .

Step-1: Prime Factorization of 53304

Prime factors of 53304 are 2, 3, 2221. Prime factorization of 53304 in exponential form is:

53304 = 2³ × 3¹ × 2221¹

Step-2: Prime Factorization of 53314

Prime factors of 53314 are 2, 19, 23, 61. Prime factorization of 53314 in exponential form is:

53314 = 2¹ × 19¹ × 23¹ × 61¹

Step-3: Factors of 53304

List of positive integer factors of 53304 that divides 53304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2221, 4442, 6663, 8884, 13326, 17768, 26652

Step-4: Factors of 53314

List of positive integer factors of 53314 that divides 53304 without a remainder.

1, 2, 19, 23, 38, 46, 61, 122, 437, 874, 1159, 1403, 2318, 2806, 26657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53304 and 53314. The biggest common factor number is the GCF number.
So the greatest common factor 53304 and 53314 is 2.

Also check out the Least Common Multiple of 53304 and 53314