What is the Greatest Common Factor of 31296 and 31301?

Greatest common factor (GCF) of 31296 and 31301 is 1.

GCF(31296,31301) = 1

We will now calculate the prime factors of 31296 and 31301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31296 and 31301.

How to find the GCF of 31296 and 31301?

We will first find the prime factorization of 31296 and 31301. After we will calculate the factors of 31296 and 31301 and find the biggest common factor number .

Step-1: Prime Factorization of 31296

Prime factors of 31296 are 2, 3, 163. Prime factorization of 31296 in exponential form is:

31296 = 2⁶ × 3¹ × 163¹

Step-2: Prime Factorization of 31301

Prime factors of 31301 are 113, 277. Prime factorization of 31301 in exponential form is:

31301 = 113¹ × 277¹

Step-3: Factors of 31296

List of positive integer factors of 31296 that divides 31296 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 163, 192, 326, 489, 652, 978, 1304, 1956, 2608, 3912, 5216, 7824, 10432, 15648

Step-4: Factors of 31301

List of positive integer factors of 31301 that divides 31296 without a remainder.

1, 113, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31296 and 31301. The biggest common factor number is the GCF number.
So the greatest common factor 31296 and 31301 is 1.

Also check out the Least Common Multiple of 31296 and 31301