What is the Greatest Common Factor of 31480 and 31496?

Greatest common factor (GCF) of 31480 and 31496 is 8.

GCF(31480,31496) = 8

We will now calculate the prime factors of 31480 and 31496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31480 and 31496.

How to find the GCF of 31480 and 31496?

We will first find the prime factorization of 31480 and 31496. After we will calculate the factors of 31480 and 31496 and find the biggest common factor number .

Step-1: Prime Factorization of 31480

Prime factors of 31480 are 2, 5, 787. Prime factorization of 31480 in exponential form is:

31480 = 2³ × 5¹ × 787¹

Step-2: Prime Factorization of 31496

Prime factors of 31496 are 2, 31, 127. Prime factorization of 31496 in exponential form is:

31496 = 2³ × 31¹ × 127¹

Step-3: Factors of 31480

List of positive integer factors of 31480 that divides 31480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 787, 1574, 3148, 3935, 6296, 7870, 15740

Step-4: Factors of 31496

List of positive integer factors of 31496 that divides 31480 without a remainder.

1, 2, 4, 8, 31, 62, 124, 127, 248, 254, 508, 1016, 3937, 7874, 15748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31480 and 31496. The biggest common factor number is the GCF number.
So the greatest common factor 31480 and 31496 is 8.

Also check out the Least Common Multiple of 31480 and 31496