What is the Greatest Common Factor of 21432 and 21441?

Greatest common factor (GCF) of 21432 and 21441 is 3.

GCF(21432,21441) = 3

We will now calculate the prime factors of 21432 and 21441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21432 and 21441.

How to find the GCF of 21432 and 21441?

We will first find the prime factorization of 21432 and 21441. After we will calculate the factors of 21432 and 21441 and find the biggest common factor number .

Step-1: Prime Factorization of 21432

Prime factors of 21432 are 2, 3, 19, 47. Prime factorization of 21432 in exponential form is:

21432 = 2³ × 3¹ × 19¹ × 47¹

Step-2: Prime Factorization of 21441

Prime factors of 21441 are 3, 7, 1021. Prime factorization of 21441 in exponential form is:

21441 = 3¹ × 7¹ × 1021¹

Step-3: Factors of 21432

List of positive integer factors of 21432 that divides 21432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 47, 57, 76, 94, 114, 141, 152, 188, 228, 282, 376, 456, 564, 893, 1128, 1786, 2679, 3572, 5358, 7144, 10716

Step-4: Factors of 21441

List of positive integer factors of 21441 that divides 21432 without a remainder.

1, 3, 7, 21, 1021, 3063, 7147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21432 and 21441. The biggest common factor number is the GCF number.
So the greatest common factor 21432 and 21441 is 3.

Also check out the Least Common Multiple of 21432 and 21441