What is the Greatest Common Factor of 31025 and 31040?

Greatest common factor (GCF) of 31025 and 31040 is 5.

GCF(31025,31040) = 5

We will now calculate the prime factors of 31025 and 31040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31025 and 31040.

How to find the GCF of 31025 and 31040?

We will first find the prime factorization of 31025 and 31040. After we will calculate the factors of 31025 and 31040 and find the biggest common factor number .

Step-1: Prime Factorization of 31025

Prime factors of 31025 are 5, 17, 73. Prime factorization of 31025 in exponential form is:

31025 = 5² × 17¹ × 73¹

Step-2: 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-3: Factors of 31025

List of positive integer factors of 31025 that divides 31025 without a remainder.

1, 5, 17, 25, 73, 85, 365, 425, 1241, 1825, 6205

Step-4: Factors of 31040

List of positive integer factors of 31040 that divides 31025 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31025 and 31040. The biggest common factor number is the GCF number.
So the greatest common factor 31025 and 31040 is 5.

Also check out the Least Common Multiple of 31025 and 31040