What is the Greatest Common Factor of 32416 and 32436?

Greatest common factor (GCF) of 32416 and 32436 is 4.

GCF(32416,32436) = 4

We will now calculate the prime factors of 32416 and 32436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32416 and 32436.

How to find the GCF of 32416 and 32436?

We will first find the prime factorization of 32416 and 32436. After we will calculate the factors of 32416 and 32436 and find the biggest common factor number .

Step-1: Prime Factorization of 32416

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

32416 = 2⁵ × 1013¹

Step-2: Prime Factorization of 32436

Prime factors of 32436 are 2, 3, 17, 53. Prime factorization of 32436 in exponential form is:

32436 = 2² × 3² × 17¹ × 53¹

Step-3: Factors of 32416

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

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

Step-4: Factors of 32436

List of positive integer factors of 32436 that divides 32416 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 53, 68, 102, 106, 153, 159, 204, 212, 306, 318, 477, 612, 636, 901, 954, 1802, 1908, 2703, 3604, 5406, 8109, 10812, 16218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32416 and 32436. The biggest common factor number is the GCF number.
So the greatest common factor 32416 and 32436 is 4.

Also check out the Least Common Multiple of 32416 and 32436