What is the Greatest Common Factor of 21522 and 21539?

Greatest common factor (GCF) of 21522 and 21539 is 17.

GCF(21522,21539) = 17

We will now calculate the prime factors of 21522 and 21539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21522 and 21539.

How to find the GCF of 21522 and 21539?

We will first find the prime factorization of 21522 and 21539. After we will calculate the factors of 21522 and 21539 and find the biggest common factor number .

Step-1: Prime Factorization of 21522

Prime factors of 21522 are 2, 3, 17, 211. Prime factorization of 21522 in exponential form is:

21522 = 2¹ × 3¹ × 17¹ × 211¹

Step-2: Prime Factorization of 21539

Prime factors of 21539 are 7, 17, 181. Prime factorization of 21539 in exponential form is:

21539 = 7¹ × 17¹ × 181¹

Step-3: Factors of 21522

List of positive integer factors of 21522 that divides 21522 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 211, 422, 633, 1266, 3587, 7174, 10761

Step-4: Factors of 21539

List of positive integer factors of 21539 that divides 21522 without a remainder.

1, 7, 17, 119, 181, 1267, 3077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21522 and 21539. The biggest common factor number is the GCF number.
So the greatest common factor 21522 and 21539 is 17.

Also check out the Least Common Multiple of 21522 and 21539