What is the Greatest Common Factor of 32142 and 32151?

Greatest common factor (GCF) of 32142 and 32151 is 3.

GCF(32142,32151) = 3

We will now calculate the prime factors of 32142 and 32151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32142 and 32151.

How to find the GCF of 32142 and 32151?

We will first find the prime factorization of 32142 and 32151. After we will calculate the factors of 32142 and 32151 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32151

Prime factors of 32151 are 3, 7, 1531. Prime factorization of 32151 in exponential form is:

32151 = 3¹ × 7¹ × 1531¹

Step-3: Factors of 32142

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

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

Step-4: Factors of 32151

List of positive integer factors of 32151 that divides 32142 without a remainder.

1, 3, 7, 21, 1531, 4593, 10717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32142 and 32151. The biggest common factor number is the GCF number.
So the greatest common factor 32142 and 32151 is 3.

Also check out the Least Common Multiple of 32142 and 32151