What is the Greatest Common Factor of 21432 and 21445?

Greatest common factor (GCF) of 21432 and 21445 is 1.

GCF(21432,21445) = 1

We will now calculate the prime factors of 21432 and 21445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21432 and 21445.

How to find the GCF of 21432 and 21445?

We will first find the prime factorization of 21432 and 21445. After we will calculate the factors of 21432 and 21445 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 21445

Prime factors of 21445 are 5, 4289. Prime factorization of 21445 in exponential form is:

21445 = 5¹ × 4289¹

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 21445

List of positive integer factors of 21445 that divides 21432 without a remainder.

1, 5, 4289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21432 and 21445. The biggest common factor number is the GCF number.
So the greatest common factor 21432 and 21445 is 1.

Also check out the Least Common Multiple of 21432 and 21445