What is the Greatest Common Factor of 31142 and 31151?

Greatest common factor (GCF) of 31142 and 31151 is 1.

GCF(31142,31151) = 1

We will now calculate the prime factors of 31142 and 31151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31142 and 31151.

How to find the GCF of 31142 and 31151?

We will first find the prime factorization of 31142 and 31151. After we will calculate the factors of 31142 and 31151 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31151

Prime factors of 31151 are 31151. Prime factorization of 31151 in exponential form is:

31151 = 31151¹

Step-3: Factors of 31142

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

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

Step-4: Factors of 31151

List of positive integer factors of 31151 that divides 31142 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31142 and 31151. The biggest common factor number is the GCF number.
So the greatest common factor 31142 and 31151 is 1.

Also check out the Least Common Multiple of 31142 and 31151