What is the Greatest Common Factor of 31438 and 31456?

Greatest common factor (GCF) of 31438 and 31456 is 2.

GCF(31438,31456) = 2

We will now calculate the prime factors of 31438 and 31456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31438 and 31456.

How to find the GCF of 31438 and 31456?

We will first find the prime factorization of 31438 and 31456. After we will calculate the factors of 31438 and 31456 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31456

Prime factors of 31456 are 2, 983. Prime factorization of 31456 in exponential form is:

31456 = 2⁵ × 983¹

Step-3: Factors of 31438

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

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

Step-4: Factors of 31456

List of positive integer factors of 31456 that divides 31438 without a remainder.

1, 2, 4, 8, 16, 32, 983, 1966, 3932, 7864, 15728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31438 and 31456. The biggest common factor number is the GCF number.
So the greatest common factor 31438 and 31456 is 2.

Also check out the Least Common Multiple of 31438 and 31456