What is the Greatest Common Factor of 32112 and 32122?

Greatest common factor (GCF) of 32112 and 32122 is 2.

GCF(32112,32122) = 2

We will now calculate the prime factors of 32112 and 32122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32112 and 32122.

How to find the GCF of 32112 and 32122?

We will first find the prime factorization of 32112 and 32122. After we will calculate the factors of 32112 and 32122 and find the biggest common factor number .

Step-1: Prime Factorization of 32112

Prime factors of 32112 are 2, 3, 223. Prime factorization of 32112 in exponential form is:

32112 = 2⁴ × 3² × 223¹

Step-2: Prime Factorization of 32122

Prime factors of 32122 are 2, 16061. Prime factorization of 32122 in exponential form is:

32122 = 2¹ × 16061¹

Step-3: Factors of 32112

List of positive integer factors of 32112 that divides 32112 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 223, 446, 669, 892, 1338, 1784, 2007, 2676, 3568, 4014, 5352, 8028, 10704, 16056

Step-4: Factors of 32122

List of positive integer factors of 32122 that divides 32112 without a remainder.

1, 2, 16061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32112 and 32122. The biggest common factor number is the GCF number.
So the greatest common factor 32112 and 32122 is 2.

Also check out the Least Common Multiple of 32112 and 32122