What is the Greatest Common Factor of 31171 and 31178?

Greatest common factor (GCF) of 31171 and 31178 is 7.

GCF(31171,31178) = 7

We will now calculate the prime factors of 31171 and 31178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31171 and 31178.

How to find the GCF of 31171 and 31178?

We will first find the prime factorization of 31171 and 31178. After we will calculate the factors of 31171 and 31178 and find the biggest common factor number .

Step-1: Prime Factorization of 31171

Prime factors of 31171 are 7, 61, 73. Prime factorization of 31171 in exponential form is:

31171 = 7¹ × 61¹ × 73¹

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 31171

List of positive integer factors of 31171 that divides 31171 without a remainder.

1, 7, 61, 73, 427, 511, 4453

Step-4: Factors of 31178

List of positive integer factors of 31178 that divides 31171 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 31171 and 31178. The biggest common factor number is the GCF number.
So the greatest common factor 31171 and 31178 is 7.

Also check out the Least Common Multiple of 31171 and 31178