What is the Greatest Common Factor of 31952 and 31958?

Greatest common factor (GCF) of 31952 and 31958 is 2.

GCF(31952,31958) = 2

We will now calculate the prime factors of 31952 and 31958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31952 and 31958.

How to find the GCF of 31952 and 31958?

We will first find the prime factorization of 31952 and 31958. After we will calculate the factors of 31952 and 31958 and find the biggest common factor number .

Step-1: Prime Factorization of 31952

Prime factors of 31952 are 2, 1997. Prime factorization of 31952 in exponential form is:

31952 = 2⁴ × 1997¹

Step-2: Prime Factorization of 31958

Prime factors of 31958 are 2, 19, 29. Prime factorization of 31958 in exponential form is:

31958 = 2¹ × 19¹ × 29²

Step-3: Factors of 31952

List of positive integer factors of 31952 that divides 31952 without a remainder.

1, 2, 4, 8, 16, 1997, 3994, 7988, 15976

Step-4: Factors of 31958

List of positive integer factors of 31958 that divides 31952 without a remainder.

1, 2, 19, 29, 38, 58, 551, 841, 1102, 1682, 15979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31952 and 31958. The biggest common factor number is the GCF number.
So the greatest common factor 31952 and 31958 is 2.

Also check out the Least Common Multiple of 31952 and 31958