What is the Greatest Common Factor of 31040 and 31054?

Greatest common factor (GCF) of 31040 and 31054 is 2.

GCF(31040,31054) = 2

We will now calculate the prime factors of 31040 and 31054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31040 and 31054.

How to find the GCF of 31040 and 31054?

We will first find the prime factorization of 31040 and 31054. After we will calculate the factors of 31040 and 31054 and find the biggest common factor number .

Step-1: Prime Factorization of 31040

Prime factors of 31040 are 2, 5, 97. Prime factorization of 31040 in exponential form is:

31040 = 2⁶ × 5¹ × 97¹

Step-2: Prime Factorization of 31054

Prime factors of 31054 are 2, 15527. Prime factorization of 31054 in exponential form is:

31054 = 2¹ × 15527¹

Step-3: Factors of 31040

List of positive integer factors of 31040 that divides 31040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 97, 160, 194, 320, 388, 485, 776, 970, 1552, 1940, 3104, 3880, 6208, 7760, 15520

Step-4: Factors of 31054

List of positive integer factors of 31054 that divides 31040 without a remainder.

1, 2, 15527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31040 and 31054. The biggest common factor number is the GCF number.
So the greatest common factor 31040 and 31054 is 2.

Also check out the Least Common Multiple of 31040 and 31054