What is the Greatest Common Factor of 21634 and 21652?

Greatest common factor (GCF) of 21634 and 21652 is 2.

GCF(21634,21652) = 2

We will now calculate the prime factors of 21634 and 21652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21634 and 21652.

How to find the GCF of 21634 and 21652?

We will first find the prime factorization of 21634 and 21652. After we will calculate the factors of 21634 and 21652 and find the biggest common factor number .

Step-1: Prime Factorization of 21634

Prime factors of 21634 are 2, 29, 373. Prime factorization of 21634 in exponential form is:

21634 = 2¹ × 29¹ × 373¹

Step-2: Prime Factorization of 21652

Prime factors of 21652 are 2, 5413. Prime factorization of 21652 in exponential form is:

21652 = 2² × 5413¹

Step-3: Factors of 21634

List of positive integer factors of 21634 that divides 21634 without a remainder.

1, 2, 29, 58, 373, 746, 10817

Step-4: Factors of 21652

List of positive integer factors of 21652 that divides 21634 without a remainder.

1, 2, 4, 5413, 10826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21634 and 21652. The biggest common factor number is the GCF number.
So the greatest common factor 21634 and 21652 is 2.

Also check out the Least Common Multiple of 21634 and 21652