What is the Greatest Common Factor of 31518 and 31535?

Greatest common factor (GCF) of 31518 and 31535 is 17.

GCF(31518,31535) = 17

We will now calculate the prime factors of 31518 and 31535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31518 and 31535.

How to find the GCF of 31518 and 31535?

We will first find the prime factorization of 31518 and 31535. After we will calculate the factors of 31518 and 31535 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 31535

Prime factors of 31535 are 5, 7, 17, 53. Prime factorization of 31535 in exponential form is:

31535 = 5¹ × 7¹ × 17¹ × 53¹

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 31535

List of positive integer factors of 31535 that divides 31518 without a remainder.

1, 5, 7, 17, 35, 53, 85, 119, 265, 371, 595, 901, 1855, 4505, 6307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31518 and 31535. The biggest common factor number is the GCF number.
So the greatest common factor 31518 and 31535 is 17.

Also check out the Least Common Multiple of 31518 and 31535