What is the Greatest Common Factor of 31930 and 31949?

Greatest common factor (GCF) of 31930 and 31949 is 1.

GCF(31930,31949) = 1

We will now calculate the prime factors of 31930 and 31949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31930 and 31949.

How to find the GCF of 31930 and 31949?

We will first find the prime factorization of 31930 and 31949. After we will calculate the factors of 31930 and 31949 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 31949

Prime factors of 31949 are 43, 743. Prime factorization of 31949 in exponential form is:

31949 = 43¹ × 743¹

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 31949

List of positive integer factors of 31949 that divides 31930 without a remainder.

1, 43, 743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31930 and 31949. The biggest common factor number is the GCF number.
So the greatest common factor 31930 and 31949 is 1.

Also check out the Least Common Multiple of 31930 and 31949