What is the Greatest Common Factor of 31930 and 31945?

Greatest common factor (GCF) of 31930 and 31945 is 5.

GCF(31930,31945) = 5

We will now calculate the prime factors of 31930 and 31945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31930 and 31945.

How to find the GCF of 31930 and 31945?

We will first find the prime factorization of 31930 and 31945. After we will calculate the factors of 31930 and 31945 and find the biggest common factor number .

Step-1: Prime Factorization of 31930

Prime factors of 31930 are 2, 5, 31, 103. Prime factorization of 31930 in exponential form is:

31930 = 2¹ × 5¹ × 31¹ × 103¹

Step-2: Prime Factorization of 31945

Prime factors of 31945 are 5, 6389. Prime factorization of 31945 in exponential form is:

31945 = 5¹ × 6389¹

Step-3: Factors of 31930

List of positive integer factors of 31930 that divides 31930 without a remainder.

1, 2, 5, 10, 31, 62, 103, 155, 206, 310, 515, 1030, 3193, 6386, 15965

Step-4: Factors of 31945

List of positive integer factors of 31945 that divides 31930 without a remainder.

1, 5, 6389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31930 and 31945. The biggest common factor number is the GCF number.
So the greatest common factor 31930 and 31945 is 5.

Also check out the Least Common Multiple of 31930 and 31945