What is the Greatest Common Factor of 21414 and 21432?

Greatest common factor (GCF) of 21414 and 21432 is 6.

GCF(21414,21432) = 6

We will now calculate the prime factors of 21414 and 21432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21414 and 21432.

How to find the GCF of 21414 and 21432?

We will first find the prime factorization of 21414 and 21432. After we will calculate the factors of 21414 and 21432 and find the biggest common factor number .

Step-1: Prime Factorization of 21414

Prime factors of 21414 are 2, 3, 43, 83. Prime factorization of 21414 in exponential form is:

21414 = 2¹ × 3¹ × 43¹ × 83¹

Step-2: 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-3: Factors of 21414

List of positive integer factors of 21414 that divides 21414 without a remainder.

1, 2, 3, 6, 43, 83, 86, 129, 166, 249, 258, 498, 3569, 7138, 10707

Step-4: Factors of 21432

List of positive integer factors of 21432 that divides 21414 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21414 and 21432. The biggest common factor number is the GCF number.
So the greatest common factor 21414 and 21432 is 6.

Also check out the Least Common Multiple of 21414 and 21432