What is the Greatest Common Factor of 21892 and 21912?

Greatest common factor (GCF) of 21892 and 21912 is 4.

GCF(21892,21912) = 4

We will now calculate the prime factors of 21892 and 21912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21892 and 21912.

How to find the GCF of 21892 and 21912?

We will first find the prime factorization of 21892 and 21912. After we will calculate the factors of 21892 and 21912 and find the biggest common factor number .

Step-1: Prime Factorization of 21892

Prime factors of 21892 are 2, 13, 421. Prime factorization of 21892 in exponential form is:

21892 = 2² × 13¹ × 421¹

Step-2: Prime Factorization of 21912

Prime factors of 21912 are 2, 3, 11, 83. Prime factorization of 21912 in exponential form is:

21912 = 2³ × 3¹ × 11¹ × 83¹

Step-3: Factors of 21892

List of positive integer factors of 21892 that divides 21892 without a remainder.

1, 2, 4, 13, 26, 52, 421, 842, 1684, 5473, 10946

Step-4: Factors of 21912

List of positive integer factors of 21912 that divides 21892 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 83, 88, 132, 166, 249, 264, 332, 498, 664, 913, 996, 1826, 1992, 2739, 3652, 5478, 7304, 10956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21892 and 21912. The biggest common factor number is the GCF number.
So the greatest common factor 21892 and 21912 is 4.

Also check out the Least Common Multiple of 21892 and 21912