What is the Greatest Common Factor of 21432 and 21439?

Greatest common factor (GCF) of 21432 and 21439 is 1.

GCF(21432,21439) = 1

We will now calculate the prime factors of 21432 and 21439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21432 and 21439.

How to find the GCF of 21432 and 21439?

We will first find the prime factorization of 21432 and 21439. After we will calculate the factors of 21432 and 21439 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 21439

Prime factors of 21439 are 11, 1949. Prime factorization of 21439 in exponential form is:

21439 = 11¹ × 1949¹

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 21439

List of positive integer factors of 21439 that divides 21432 without a remainder.

1, 11, 1949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21432 and 21439. The biggest common factor number is the GCF number.
So the greatest common factor 21432 and 21439 is 1.

Also check out the Least Common Multiple of 21432 and 21439