What is the Greatest Common Factor of 31527 and 31531?

Greatest common factor (GCF) of 31527 and 31531 is 1.

GCF(31527,31531) = 1

We will now calculate the prime factors of 31527 and 31531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31527 and 31531.

How to find the GCF of 31527 and 31531?

We will first find the prime factorization of 31527 and 31531. After we will calculate the factors of 31527 and 31531 and find the biggest common factor number .

Step-1: Prime Factorization of 31527

Prime factors of 31527 are 3, 31, 113. Prime factorization of 31527 in exponential form is:

31527 = 3² × 31¹ × 113¹

Step-2: Prime Factorization of 31531

Prime factors of 31531 are 31531. Prime factorization of 31531 in exponential form is:

31531 = 31531¹

Step-3: Factors of 31527

List of positive integer factors of 31527 that divides 31527 without a remainder.

1, 3, 9, 31, 93, 113, 279, 339, 1017, 3503, 10509

Step-4: Factors of 31531

List of positive integer factors of 31531 that divides 31527 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31527 and 31531. The biggest common factor number is the GCF number.
So the greatest common factor 31527 and 31531 is 1.

Also check out the Least Common Multiple of 31527 and 31531