What is the Greatest Common Factor of 32131 and 32142?

Greatest common factor (GCF) of 32131 and 32142 is 11.

GCF(32131,32142) = 11

We will now calculate the prime factors of 32131 and 32142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32131 and 32142.

How to find the GCF of 32131 and 32142?

We will first find the prime factorization of 32131 and 32142. After we will calculate the factors of 32131 and 32142 and find the biggest common factor number .

Step-1: Prime Factorization of 32131

Prime factors of 32131 are 11, 23, 127. Prime factorization of 32131 in exponential form is:

32131 = 11¹ × 23¹ × 127¹

Step-2: Prime Factorization of 32142

Prime factors of 32142 are 2, 3, 11, 487. Prime factorization of 32142 in exponential form is:

32142 = 2¹ × 3¹ × 11¹ × 487¹

Step-3: Factors of 32131

List of positive integer factors of 32131 that divides 32131 without a remainder.

1, 11, 23, 127, 253, 1397, 2921

Step-4: Factors of 32142

List of positive integer factors of 32142 that divides 32131 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 487, 974, 1461, 2922, 5357, 10714, 16071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32131 and 32142. The biggest common factor number is the GCF number.
So the greatest common factor 32131 and 32142 is 11.

Also check out the Least Common Multiple of 32131 and 32142