What is the Greatest Common Factor of 31962 and 31975?

Greatest common factor (GCF) of 31962 and 31975 is 1.

GCF(31962,31975) = 1

We will now calculate the prime factors of 31962 and 31975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31962 and 31975.

How to find the GCF of 31962 and 31975?

We will first find the prime factorization of 31962 and 31975. After we will calculate the factors of 31962 and 31975 and find the biggest common factor number .

Step-1: Prime Factorization of 31962

Prime factors of 31962 are 2, 3, 7, 761. Prime factorization of 31962 in exponential form is:

31962 = 2¹ × 3¹ × 7¹ × 761¹

Step-2: Prime Factorization of 31975

Prime factors of 31975 are 5, 1279. Prime factorization of 31975 in exponential form is:

31975 = 5² × 1279¹

Step-3: Factors of 31962

List of positive integer factors of 31962 that divides 31962 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 761, 1522, 2283, 4566, 5327, 10654, 15981

Step-4: Factors of 31975

List of positive integer factors of 31975 that divides 31962 without a remainder.

1, 5, 25, 1279, 6395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31962 and 31975. The biggest common factor number is the GCF number.
So the greatest common factor 31962 and 31975 is 1.

Also check out the Least Common Multiple of 31962 and 31975