What is the Greatest Common Factor of 31871 and 31885?

Greatest common factor (GCF) of 31871 and 31885 is 7.

GCF(31871,31885) = 7

We will now calculate the prime factors of 31871 and 31885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31871 and 31885.

How to find the GCF of 31871 and 31885?

We will first find the prime factorization of 31871 and 31885. After we will calculate the factors of 31871 and 31885 and find the biggest common factor number .

Step-1: Prime Factorization of 31871

Prime factors of 31871 are 7, 29, 157. Prime factorization of 31871 in exponential form is:

31871 = 7¹ × 29¹ × 157¹

Step-2: Prime Factorization of 31885

Prime factors of 31885 are 5, 7, 911. Prime factorization of 31885 in exponential form is:

31885 = 5¹ × 7¹ × 911¹

Step-3: Factors of 31871

List of positive integer factors of 31871 that divides 31871 without a remainder.

1, 7, 29, 157, 203, 1099, 4553

Step-4: Factors of 31885

List of positive integer factors of 31885 that divides 31871 without a remainder.

1, 5, 7, 35, 911, 4555, 6377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31871 and 31885. The biggest common factor number is the GCF number.
So the greatest common factor 31871 and 31885 is 7.

Also check out the Least Common Multiple of 31871 and 31885