What is the Greatest Common Factor of 31264 and 31273?

Greatest common factor (GCF) of 31264 and 31273 is 1.

GCF(31264,31273) = 1

We will now calculate the prime factors of 31264 and 31273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31264 and 31273.

How to find the GCF of 31264 and 31273?

We will first find the prime factorization of 31264 and 31273. After we will calculate the factors of 31264 and 31273 and find the biggest common factor number .

Step-1: Prime Factorization of 31264

Prime factors of 31264 are 2, 977. Prime factorization of 31264 in exponential form is:

31264 = 2⁵ × 977¹

Step-2: Prime Factorization of 31273

Prime factors of 31273 are 11, 2843. Prime factorization of 31273 in exponential form is:

31273 = 11¹ × 2843¹

Step-3: Factors of 31264

List of positive integer factors of 31264 that divides 31264 without a remainder.

1, 2, 4, 8, 16, 32, 977, 1954, 3908, 7816, 15632

Step-4: Factors of 31273

List of positive integer factors of 31273 that divides 31264 without a remainder.

1, 11, 2843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31264 and 31273. The biggest common factor number is the GCF number.
So the greatest common factor 31264 and 31273 is 1.

Also check out the Least Common Multiple of 31264 and 31273