What is the Greatest Common Factor of 31041 and 31053?

Greatest common factor (GCF) of 31041 and 31053 is 3.

GCF(31041,31053) = 3

We will now calculate the prime factors of 31041 and 31053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31041 and 31053.

How to find the GCF of 31041 and 31053?

We will first find the prime factorization of 31041 and 31053. After we will calculate the factors of 31041 and 31053 and find the biggest common factor number .

Step-1: Prime Factorization of 31041

Prime factors of 31041 are 3, 3449. Prime factorization of 31041 in exponential form is:

31041 = 3² × 3449¹

Step-2: Prime Factorization of 31053

Prime factors of 31053 are 3, 11, 941. Prime factorization of 31053 in exponential form is:

31053 = 3¹ × 11¹ × 941¹

Step-3: Factors of 31041

List of positive integer factors of 31041 that divides 31041 without a remainder.

1, 3, 9, 3449, 10347

Step-4: Factors of 31053

List of positive integer factors of 31053 that divides 31041 without a remainder.

1, 3, 11, 33, 941, 2823, 10351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31041 and 31053. The biggest common factor number is the GCF number.
So the greatest common factor 31041 and 31053 is 3.

Also check out the Least Common Multiple of 31041 and 31053