What is the Greatest Common Factor of 32142 and 32153?

Greatest common factor (GCF) of 32142 and 32153 is 11.

GCF(32142,32153) = 11

We will now calculate the prime factors of 32142 and 32153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32142 and 32153.

How to find the GCF of 32142 and 32153?

We will first find the prime factorization of 32142 and 32153. After we will calculate the factors of 32142 and 32153 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 32153

Prime factors of 32153 are 11, 37, 79. Prime factorization of 32153 in exponential form is:

32153 = 11¹ × 37¹ × 79¹

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 32153

List of positive integer factors of 32153 that divides 32142 without a remainder.

1, 11, 37, 79, 407, 869, 2923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32142 and 32153. The biggest common factor number is the GCF number.
So the greatest common factor 32142 and 32153 is 11.

Also check out the Least Common Multiple of 32142 and 32153