What is the Greatest Common Factor of 31427 and 31438?

Greatest common factor (GCF) of 31427 and 31438 is 11.

GCF(31427,31438) = 11

We will now calculate the prime factors of 31427 and 31438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31427 and 31438.

How to find the GCF of 31427 and 31438?

We will first find the prime factorization of 31427 and 31438. After we will calculate the factors of 31427 and 31438 and find the biggest common factor number .

Step-1: Prime Factorization of 31427

Prime factors of 31427 are 11, 2857. Prime factorization of 31427 in exponential form is:

31427 = 11¹ × 2857¹

Step-2: Prime Factorization of 31438

Prime factors of 31438 are 2, 11, 1429. Prime factorization of 31438 in exponential form is:

31438 = 2¹ × 11¹ × 1429¹

Step-3: Factors of 31427

List of positive integer factors of 31427 that divides 31427 without a remainder.

1, 11, 2857

Step-4: Factors of 31438

List of positive integer factors of 31438 that divides 31427 without a remainder.

1, 2, 11, 22, 1429, 2858, 15719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31427 and 31438. The biggest common factor number is the GCF number.
So the greatest common factor 31427 and 31438 is 11.

Also check out the Least Common Multiple of 31427 and 31438