What is the Greatest Common Factor of 31240 and 31256?

Greatest common factor (GCF) of 31240 and 31256 is 8.

GCF(31240,31256) = 8

We will now calculate the prime factors of 31240 and 31256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31240 and 31256.

How to find the GCF of 31240 and 31256?

We will first find the prime factorization of 31240 and 31256. After we will calculate the factors of 31240 and 31256 and find the biggest common factor number .

Step-1: Prime Factorization of 31240

Prime factors of 31240 are 2, 5, 11, 71. Prime factorization of 31240 in exponential form is:

31240 = 2³ × 5¹ × 11¹ × 71¹

Step-2: Prime Factorization of 31256

Prime factors of 31256 are 2, 3907. Prime factorization of 31256 in exponential form is:

31256 = 2³ × 3907¹

Step-3: Factors of 31240

List of positive integer factors of 31240 that divides 31240 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 71, 88, 110, 142, 220, 284, 355, 440, 568, 710, 781, 1420, 1562, 2840, 3124, 3905, 6248, 7810, 15620

Step-4: Factors of 31256

List of positive integer factors of 31256 that divides 31240 without a remainder.

1, 2, 4, 8, 3907, 7814, 15628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31240 and 31256. The biggest common factor number is the GCF number.
So the greatest common factor 31240 and 31256 is 8.

Also check out the Least Common Multiple of 31240 and 31256