What is the Greatest Common Factor of 31434 and 31452?

Greatest common factor (GCF) of 31434 and 31452 is 6.

GCF(31434,31452) = 6

We will now calculate the prime factors of 31434 and 31452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31434 and 31452.

How to find the GCF of 31434 and 31452?

We will first find the prime factorization of 31434 and 31452. After we will calculate the factors of 31434 and 31452 and find the biggest common factor number .

Step-1: Prime Factorization of 31434

Prime factors of 31434 are 2, 3, 13, 31. Prime factorization of 31434 in exponential form is:

31434 = 2¹ × 3¹ × 13² × 31¹

Step-2: Prime Factorization of 31452

Prime factors of 31452 are 2, 3, 2621. Prime factorization of 31452 in exponential form is:

31452 = 2² × 3¹ × 2621¹

Step-3: Factors of 31434

List of positive integer factors of 31434 that divides 31434 without a remainder.

1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 169, 186, 338, 403, 507, 806, 1014, 1209, 2418, 5239, 10478, 15717

Step-4: Factors of 31452

List of positive integer factors of 31452 that divides 31434 without a remainder.

1, 2, 3, 4, 6, 12, 2621, 5242, 7863, 10484, 15726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31434 and 31452. The biggest common factor number is the GCF number.
So the greatest common factor 31434 and 31452 is 6.

Also check out the Least Common Multiple of 31434 and 31452