What is the Greatest Common Factor of 31514 and 31529?

Greatest common factor (GCF) of 31514 and 31529 is 1.

GCF(31514,31529) = 1

We will now calculate the prime factors of 31514 and 31529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31514 and 31529.

How to find the GCF of 31514 and 31529?

We will first find the prime factorization of 31514 and 31529. After we will calculate the factors of 31514 and 31529 and find the biggest common factor number .

Step-1: Prime Factorization of 31514

Prime factors of 31514 are 2, 7, 2251. Prime factorization of 31514 in exponential form is:

31514 = 2¹ × 7¹ × 2251¹

Step-2: Prime Factorization of 31529

Prime factors of 31529 are 41, 769. Prime factorization of 31529 in exponential form is:

31529 = 41¹ × 769¹

Step-3: Factors of 31514

List of positive integer factors of 31514 that divides 31514 without a remainder.

1, 2, 7, 14, 2251, 4502, 15757

Step-4: Factors of 31529

List of positive integer factors of 31529 that divides 31514 without a remainder.

1, 41, 769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31514 and 31529. The biggest common factor number is the GCF number.
So the greatest common factor 31514 and 31529 is 1.

Also check out the Least Common Multiple of 31514 and 31529