What is the Greatest Common Factor of 31542 and 31562?

Greatest common factor (GCF) of 31542 and 31562 is 2.

GCF(31542,31562) = 2

We will now calculate the prime factors of 31542 and 31562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31542 and 31562.

How to find the GCF of 31542 and 31562?

We will first find the prime factorization of 31542 and 31562. After we will calculate the factors of 31542 and 31562 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 31562

Prime factors of 31562 are 2, 43, 367. Prime factorization of 31562 in exponential form is:

31562 = 2¹ × 43¹ × 367¹

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 31562

List of positive integer factors of 31562 that divides 31542 without a remainder.

1, 2, 43, 86, 367, 734, 15781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31542 and 31562. The biggest common factor number is the GCF number.
So the greatest common factor 31542 and 31562 is 2.

Also check out the Least Common Multiple of 31542 and 31562