What is the Greatest Common Factor of 31507 and 31524?

Greatest common factor (GCF) of 31507 and 31524 is 1.

GCF(31507,31524) = 1

We will now calculate the prime factors of 31507 and 31524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31507 and 31524.

How to find the GCF of 31507 and 31524?

We will first find the prime factorization of 31507 and 31524. After we will calculate the factors of 31507 and 31524 and find the biggest common factor number .

Step-1: Prime Factorization of 31507

Prime factors of 31507 are 7, 643. Prime factorization of 31507 in exponential form is:

31507 = 7² × 643¹

Step-2: Prime Factorization of 31524

Prime factors of 31524 are 2, 3, 37, 71. Prime factorization of 31524 in exponential form is:

31524 = 2² × 3¹ × 37¹ × 71¹

Step-3: Factors of 31507

List of positive integer factors of 31507 that divides 31507 without a remainder.

1, 7, 49, 643, 4501

Step-4: Factors of 31524

List of positive integer factors of 31524 that divides 31507 without a remainder.

1, 2, 3, 4, 6, 12, 37, 71, 74, 111, 142, 148, 213, 222, 284, 426, 444, 852, 2627, 5254, 7881, 10508, 15762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31507 and 31524. The biggest common factor number is the GCF number.
So the greatest common factor 31507 and 31524 is 1.

Also check out the Least Common Multiple of 31507 and 31524