What is the Greatest Common Factor of 31885 and 31892?

Greatest common factor (GCF) of 31885 and 31892 is 7.

GCF(31885,31892) = 7

We will now calculate the prime factors of 31885 and 31892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31885 and 31892.

How to find the GCF of 31885 and 31892?

We will first find the prime factorization of 31885 and 31892. After we will calculate the factors of 31885 and 31892 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31892

Prime factors of 31892 are 2, 7, 17, 67. Prime factorization of 31892 in exponential form is:

31892 = 2² × 7¹ × 17¹ × 67¹

Step-3: Factors of 31885

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

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

Step-4: Factors of 31892

List of positive integer factors of 31892 that divides 31885 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 67, 68, 119, 134, 238, 268, 469, 476, 938, 1139, 1876, 2278, 4556, 7973, 15946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31885 and 31892. The biggest common factor number is the GCF number.
So the greatest common factor 31885 and 31892 is 7.

Also check out the Least Common Multiple of 31885 and 31892