What is the Greatest Common Factor of 31530 and 31535?

Greatest common factor (GCF) of 31530 and 31535 is 5.

GCF(31530,31535) = 5

We will now calculate the prime factors of 31530 and 31535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31530 and 31535.

How to find the GCF of 31530 and 31535?

We will first find the prime factorization of 31530 and 31535. After we will calculate the factors of 31530 and 31535 and find the biggest common factor number .

Step-1: Prime Factorization of 31530

Prime factors of 31530 are 2, 3, 5, 1051. Prime factorization of 31530 in exponential form is:

31530 = 2¹ × 3¹ × 5¹ × 1051¹

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 31530

List of positive integer factors of 31530 that divides 31530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1051, 2102, 3153, 5255, 6306, 10510, 15765

Step-4: Factors of 31535

List of positive integer factors of 31535 that divides 31530 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 31530 and 31535. The biggest common factor number is the GCF number.
So the greatest common factor 31530 and 31535 is 5.

Also check out the Least Common Multiple of 31530 and 31535