What is the Greatest Common Factor of 31924 and 31929?

Greatest common factor (GCF) of 31924 and 31929 is 1.

GCF(31924,31929) = 1

We will now calculate the prime factors of 31924 and 31929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31924 and 31929.

How to find the GCF of 31924 and 31929?

We will first find the prime factorization of 31924 and 31929. After we will calculate the factors of 31924 and 31929 and find the biggest common factor number .

Step-1: Prime Factorization of 31924

Prime factors of 31924 are 2, 23, 347. Prime factorization of 31924 in exponential form is:

31924 = 2² × 23¹ × 347¹

Step-2: Prime Factorization of 31929

Prime factors of 31929 are 3, 29, 367. Prime factorization of 31929 in exponential form is:

31929 = 3¹ × 29¹ × 367¹

Step-3: Factors of 31924

List of positive integer factors of 31924 that divides 31924 without a remainder.

1, 2, 4, 23, 46, 92, 347, 694, 1388, 7981, 15962

Step-4: Factors of 31929

List of positive integer factors of 31929 that divides 31924 without a remainder.

1, 3, 29, 87, 367, 1101, 10643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31924 and 31929. The biggest common factor number is the GCF number.
So the greatest common factor 31924 and 31929 is 1.

Also check out the Least Common Multiple of 31924 and 31929