What is the Greatest Common Factor of 21522 and 21534?

Greatest common factor (GCF) of 21522 and 21534 is 6.

GCF(21522,21534) = 6

We will now calculate the prime factors of 21522 and 21534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21522 and 21534.

How to find the GCF of 21522 and 21534?

We will first find the prime factorization of 21522 and 21534. After we will calculate the factors of 21522 and 21534 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 21534

Prime factors of 21534 are 2, 3, 37, 97. Prime factorization of 21534 in exponential form is:

21534 = 2¹ × 3¹ × 37¹ × 97¹

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 21534

List of positive integer factors of 21534 that divides 21522 without a remainder.

1, 2, 3, 6, 37, 74, 97, 111, 194, 222, 291, 582, 3589, 7178, 10767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21522 and 21534. The biggest common factor number is the GCF number.
So the greatest common factor 21522 and 21534 is 6.

Also check out the Least Common Multiple of 21522 and 21534