What is the Greatest Common Factor of 31024 and 31040?

Greatest common factor (GCF) of 31024 and 31040 is 16.

GCF(31024,31040) = 16

We will now calculate the prime factors of 31024 and 31040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31024 and 31040.

How to find the GCF of 31024 and 31040?

We will first find the prime factorization of 31024 and 31040. After we will calculate the factors of 31024 and 31040 and find the biggest common factor number .

Step-1: Prime Factorization of 31024

Prime factors of 31024 are 2, 7, 277. Prime factorization of 31024 in exponential form is:

31024 = 2⁴ × 7¹ × 277¹

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 31024

List of positive integer factors of 31024 that divides 31024 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 277, 554, 1108, 1939, 2216, 3878, 4432, 7756, 15512

Step-4: Factors of 31040

List of positive integer factors of 31040 that divides 31024 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 31024 and 31040. The biggest common factor number is the GCF number.
So the greatest common factor 31024 and 31040 is 16.

Also check out the Least Common Multiple of 31024 and 31040