What is the Greatest Common Factor of 31136 and 31142?

Greatest common factor (GCF) of 31136 and 31142 is 2.

GCF(31136,31142) = 2

We will now calculate the prime factors of 31136 and 31142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31136 and 31142.

How to find the GCF of 31136 and 31142?

We will first find the prime factorization of 31136 and 31142. After we will calculate the factors of 31136 and 31142 and find the biggest common factor number .

Step-1: Prime Factorization of 31136

Prime factors of 31136 are 2, 7, 139. Prime factorization of 31136 in exponential form is:

31136 = 2⁵ × 7¹ × 139¹

Step-2: Prime Factorization of 31142

Prime factors of 31142 are 2, 23, 677. Prime factorization of 31142 in exponential form is:

31142 = 2¹ × 23¹ × 677¹

Step-3: Factors of 31136

List of positive integer factors of 31136 that divides 31136 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 139, 224, 278, 556, 973, 1112, 1946, 2224, 3892, 4448, 7784, 15568

Step-4: Factors of 31142

List of positive integer factors of 31142 that divides 31136 without a remainder.

1, 2, 23, 46, 677, 1354, 15571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31136 and 31142. The biggest common factor number is the GCF number.
So the greatest common factor 31136 and 31142 is 2.

Also check out the Least Common Multiple of 31136 and 31142