What is the Greatest Common Factor of 21546 and 21556?

Greatest common factor (GCF) of 21546 and 21556 is 2.

GCF(21546,21556) = 2

We will now calculate the prime factors of 21546 and 21556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21546 and 21556.

How to find the GCF of 21546 and 21556?

We will first find the prime factorization of 21546 and 21556. After we will calculate the factors of 21546 and 21556 and find the biggest common factor number .

Step-1: Prime Factorization of 21546

Prime factors of 21546 are 2, 3, 7, 19. Prime factorization of 21546 in exponential form is:

21546 = 2¹ × 3⁴ × 7¹ × 19¹

Step-2: Prime Factorization of 21556

Prime factors of 21556 are 2, 17, 317. Prime factorization of 21556 in exponential form is:

21556 = 2² × 17¹ × 317¹

Step-3: Factors of 21546

List of positive integer factors of 21546 that divides 21546 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 81, 114, 126, 133, 162, 171, 189, 266, 342, 378, 399, 513, 567, 798, 1026, 1134, 1197, 1539, 2394, 3078, 3591, 7182, 10773

Step-4: Factors of 21556

List of positive integer factors of 21556 that divides 21546 without a remainder.

1, 2, 4, 17, 34, 68, 317, 634, 1268, 5389, 10778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21546 and 21556. The biggest common factor number is the GCF number.
So the greatest common factor 21546 and 21556 is 2.

Also check out the Least Common Multiple of 21546 and 21556