What is the Greatest Common Factor of 31542 and 31556?

Greatest common factor (GCF) of 31542 and 31556 is 14.

GCF(31542,31556) = 14

We will now calculate the prime factors of 31542 and 31556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31542 and 31556.

How to find the GCF of 31542 and 31556?

We will first find the prime factorization of 31542 and 31556. After we will calculate the factors of 31542 and 31556 and find the biggest common factor number .

Step-1: Prime Factorization of 31542

Prime factors of 31542 are 2, 3, 7, 751. Prime factorization of 31542 in exponential form is:

31542 = 2¹ × 3¹ × 7¹ × 751¹

Step-2: Prime Factorization of 31556

Prime factors of 31556 are 2, 7, 23. Prime factorization of 31556 in exponential form is:

31556 = 2² × 7³ × 23¹

Step-3: Factors of 31542

List of positive integer factors of 31542 that divides 31542 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 751, 1502, 2253, 4506, 5257, 10514, 15771

Step-4: Factors of 31556

List of positive integer factors of 31556 that divides 31542 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 49, 92, 98, 161, 196, 322, 343, 644, 686, 1127, 1372, 2254, 4508, 7889, 15778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31542 and 31556. The biggest common factor number is the GCF number.
So the greatest common factor 31542 and 31556 is 14.

Also check out the Least Common Multiple of 31542 and 31556