What is the Greatest Common Factor of 31442 and 31459?

Greatest common factor (GCF) of 31442 and 31459 is 1.

GCF(31442,31459) = 1

We will now calculate the prime factors of 31442 and 31459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31442 and 31459.

How to find the GCF of 31442 and 31459?

We will first find the prime factorization of 31442 and 31459. After we will calculate the factors of 31442 and 31459 and find the biggest common factor number .

Step-1: Prime Factorization of 31442

Prime factors of 31442 are 2, 79, 199. Prime factorization of 31442 in exponential form is:

31442 = 2¹ × 79¹ × 199¹

Step-2: Prime Factorization of 31459

Prime factors of 31459 are 163, 193. Prime factorization of 31459 in exponential form is:

31459 = 163¹ × 193¹

Step-3: Factors of 31442

List of positive integer factors of 31442 that divides 31442 without a remainder.

1, 2, 79, 158, 199, 398, 15721

Step-4: Factors of 31459

List of positive integer factors of 31459 that divides 31442 without a remainder.

1, 163, 193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31442 and 31459. The biggest common factor number is the GCF number.
So the greatest common factor 31442 and 31459 is 1.

Also check out the Least Common Multiple of 31442 and 31459