What is the Greatest Common Factor of 32412 and 32416?

Greatest common factor (GCF) of 32412 and 32416 is 4.

GCF(32412,32416) = 4

We will now calculate the prime factors of 32412 and 32416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32412 and 32416.

How to find the GCF of 32412 and 32416?

We will first find the prime factorization of 32412 and 32416. After we will calculate the factors of 32412 and 32416 and find the biggest common factor number .

Step-1: Prime Factorization of 32412

Prime factors of 32412 are 2, 3, 37, 73. Prime factorization of 32412 in exponential form is:

32412 = 2² × 3¹ × 37¹ × 73¹

Step-2: Prime Factorization of 32416

Prime factors of 32416 are 2, 1013. Prime factorization of 32416 in exponential form is:

32416 = 2⁵ × 1013¹

Step-3: Factors of 32412

List of positive integer factors of 32412 that divides 32412 without a remainder.

1, 2, 3, 4, 6, 12, 37, 73, 74, 111, 146, 148, 219, 222, 292, 438, 444, 876, 2701, 5402, 8103, 10804, 16206

Step-4: Factors of 32416

List of positive integer factors of 32416 that divides 32412 without a remainder.

1, 2, 4, 8, 16, 32, 1013, 2026, 4052, 8104, 16208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32412 and 32416. The biggest common factor number is the GCF number.
So the greatest common factor 32412 and 32416 is 4.

Also check out the Least Common Multiple of 32412 and 32416