What is the Greatest Common Factor of 53314 and 53328?

Greatest common factor (GCF) of 53314 and 53328 is 2.

GCF(53314,53328) = 2

We will now calculate the prime factors of 53314 and 53328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53314 and 53328.

How to find the GCF of 53314 and 53328?

We will first find the prime factorization of 53314 and 53328. After we will calculate the factors of 53314 and 53328 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53328

Prime factors of 53328 are 2, 3, 11, 101. Prime factorization of 53328 in exponential form is:

53328 = 2⁴ × 3¹ × 11¹ × 101¹

Step-3: Factors of 53314

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

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

Step-4: Factors of 53328

List of positive integer factors of 53328 that divides 53314 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 101, 132, 176, 202, 264, 303, 404, 528, 606, 808, 1111, 1212, 1616, 2222, 2424, 3333, 4444, 4848, 6666, 8888, 13332, 17776, 26664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53314 and 53328. The biggest common factor number is the GCF number.
So the greatest common factor 53314 and 53328 is 2.

Also check out the Least Common Multiple of 53314 and 53328