What is the Greatest Common Factor of 21271 and 21282?

Greatest common factor (GCF) of 21271 and 21282 is 1.

GCF(21271,21282) = 1

We will now calculate the prime factors of 21271 and 21282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21271 and 21282.

How to find the GCF of 21271 and 21282?

We will first find the prime factorization of 21271 and 21282. After we will calculate the factors of 21271 and 21282 and find the biggest common factor number .

Step-1: Prime Factorization of 21271

Prime factors of 21271 are 89, 239. Prime factorization of 21271 in exponential form is:

21271 = 89¹ × 239¹

Step-2: Prime Factorization of 21282

Prime factors of 21282 are 2, 3, 3547. Prime factorization of 21282 in exponential form is:

21282 = 2¹ × 3¹ × 3547¹

Step-3: Factors of 21271

List of positive integer factors of 21271 that divides 21271 without a remainder.

1, 89, 239

Step-4: Factors of 21282

List of positive integer factors of 21282 that divides 21271 without a remainder.

1, 2, 3, 6, 3547, 7094, 10641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21271 and 21282. The biggest common factor number is the GCF number.
So the greatest common factor 21271 and 21282 is 1.

Also check out the Least Common Multiple of 21271 and 21282