What is the Greatest Common Factor of 31518 and 31534?

Greatest common factor (GCF) of 31518 and 31534 is 2.

GCF(31518,31534) = 2

We will now calculate the prime factors of 31518 and 31534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31518 and 31534.

How to find the GCF of 31518 and 31534?

We will first find the prime factorization of 31518 and 31534. After we will calculate the factors of 31518 and 31534 and find the biggest common factor number .

Step-1: Prime Factorization of 31518

Prime factors of 31518 are 2, 3, 17, 103. Prime factorization of 31518 in exponential form is:

31518 = 2¹ × 3² × 17¹ × 103¹

Step-2: Prime Factorization of 31534

Prime factors of 31534 are 2, 15767. Prime factorization of 31534 in exponential form is:

31534 = 2¹ × 15767¹

Step-3: Factors of 31518

List of positive integer factors of 31518 that divides 31518 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 103, 153, 206, 306, 309, 618, 927, 1751, 1854, 3502, 5253, 10506, 15759

Step-4: Factors of 31534

List of positive integer factors of 31534 that divides 31518 without a remainder.

1, 2, 15767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31518 and 31534. The biggest common factor number is the GCF number.
So the greatest common factor 31518 and 31534 is 2.

Also check out the Least Common Multiple of 31518 and 31534