What is the Greatest Common Factor of 31168 and 31178?

Greatest common factor (GCF) of 31168 and 31178 is 2.

GCF(31168,31178) = 2

We will now calculate the prime factors of 31168 and 31178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31168 and 31178.

How to find the GCF of 31168 and 31178?

We will first find the prime factorization of 31168 and 31178. After we will calculate the factors of 31168 and 31178 and find the biggest common factor number .

Step-1: Prime Factorization of 31168

Prime factors of 31168 are 2, 487. Prime factorization of 31168 in exponential form is:

31168 = 2⁶ × 487¹

Step-2: Prime Factorization of 31178

Prime factors of 31178 are 2, 7, 17, 131. Prime factorization of 31178 in exponential form is:

31178 = 2¹ × 7¹ × 17¹ × 131¹

Step-3: Factors of 31168

List of positive integer factors of 31168 that divides 31168 without a remainder.

1, 2, 4, 8, 16, 32, 64, 487, 974, 1948, 3896, 7792, 15584

Step-4: Factors of 31178

List of positive integer factors of 31178 that divides 31168 without a remainder.

1, 2, 7, 14, 17, 34, 119, 131, 238, 262, 917, 1834, 2227, 4454, 15589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31168 and 31178. The biggest common factor number is the GCF number.
So the greatest common factor 31168 and 31178 is 2.

Also check out the Least Common Multiple of 31168 and 31178