What is the Greatest Common Factor of 53312 and 53329?

Greatest common factor (GCF) of 53312 and 53329 is 17.

GCF(53312,53329) = 17

We will now calculate the prime factors of 53312 and 53329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53312 and 53329.

How to find the GCF of 53312 and 53329?

We will first find the prime factorization of 53312 and 53329. After we will calculate the factors of 53312 and 53329 and find the biggest common factor number .

Step-1: Prime Factorization of 53312

Prime factors of 53312 are 2, 7, 17. Prime factorization of 53312 in exponential form is:

53312 = 2⁶ × 7² × 17¹

Step-2: Prime Factorization of 53329

Prime factors of 53329 are 17, 3137. Prime factorization of 53329 in exponential form is:

53329 = 17¹ × 3137¹

Step-3: Factors of 53312

List of positive integer factors of 53312 that divides 53312 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 49, 56, 64, 68, 98, 112, 119, 136, 196, 224, 238, 272, 392, 448, 476, 544, 784, 833, 952, 1088, 1568, 1666, 1904, 3136, 3332, 3808, 6664, 7616, 13328, 26656

Step-4: Factors of 53329

List of positive integer factors of 53329 that divides 53312 without a remainder.

1, 17, 3137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53312 and 53329. The biggest common factor number is the GCF number.
So the greatest common factor 53312 and 53329 is 17.

Also check out the Least Common Multiple of 53312 and 53329