What is the Greatest Common Factor of 21534 and 21553?

Greatest common factor (GCF) of 21534 and 21553 is 1.

GCF(21534,21553) = 1

We will now calculate the prime factors of 21534 and 21553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21534 and 21553.

How to find the GCF of 21534 and 21553?

We will first find the prime factorization of 21534 and 21553. After we will calculate the factors of 21534 and 21553 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21553

Prime factors of 21553 are 7, 3079. Prime factorization of 21553 in exponential form is:

21553 = 7¹ × 3079¹

Step-3: Factors of 21534

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

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

Step-4: Factors of 21553

List of positive integer factors of 21553 that divides 21534 without a remainder.

1, 7, 3079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21534 and 21553. The biggest common factor number is the GCF number.
So the greatest common factor 21534 and 21553 is 1.

Also check out the Least Common Multiple of 21534 and 21553