What is the Greatest Common Factor of 32421 and 32436?

Greatest common factor (GCF) of 32421 and 32436 is 3.

GCF(32421,32436) = 3

We will now calculate the prime factors of 32421 and 32436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32421 and 32436.

How to find the GCF of 32421 and 32436?

We will first find the prime factorization of 32421 and 32436. After we will calculate the factors of 32421 and 32436 and find the biggest common factor number .

Step-1: Prime Factorization of 32421

Prime factors of 32421 are 3, 101, 107. Prime factorization of 32421 in exponential form is:

32421 = 3¹ × 101¹ × 107¹

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 32421

List of positive integer factors of 32421 that divides 32421 without a remainder.

1, 3, 101, 107, 303, 321, 10807

Step-4: Factors of 32436

List of positive integer factors of 32436 that divides 32421 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 32421 and 32436. The biggest common factor number is the GCF number.
So the greatest common factor 32421 and 32436 is 3.

Also check out the Least Common Multiple of 32421 and 32436