What is the Greatest Common Factor of 31040 and 31045?

Greatest common factor (GCF) of 31040 and 31045 is 5.

GCF(31040,31045) = 5

We will now calculate the prime factors of 31040 and 31045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31040 and 31045.

How to find the GCF of 31040 and 31045?

We will first find the prime factorization of 31040 and 31045. After we will calculate the factors of 31040 and 31045 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 31045

Prime factors of 31045 are 5, 7, 887. Prime factorization of 31045 in exponential form is:

31045 = 5¹ × 7¹ × 887¹

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 31045

List of positive integer factors of 31045 that divides 31040 without a remainder.

1, 5, 7, 35, 887, 4435, 6209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31040 and 31045. The biggest common factor number is the GCF number.
So the greatest common factor 31040 and 31045 is 5.

Also check out the Least Common Multiple of 31040 and 31045