What is the Greatest Common Factor of 31040 and 31047?

Greatest common factor (GCF) of 31040 and 31047 is 1.

GCF(31040,31047) = 1

We will now calculate the prime factors of 31040 and 31047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31040 and 31047.

How to find the GCF of 31040 and 31047?

We will first find the prime factorization of 31040 and 31047. After we will calculate the factors of 31040 and 31047 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 31047

Prime factors of 31047 are 3, 79, 131. Prime factorization of 31047 in exponential form is:

31047 = 3¹ × 79¹ × 131¹

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 31047

List of positive integer factors of 31047 that divides 31040 without a remainder.

1, 3, 79, 131, 237, 393, 10349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31040 and 31047. The biggest common factor number is the GCF number.
So the greatest common factor 31040 and 31047 is 1.

Also check out the Least Common Multiple of 31040 and 31047