What is the Greatest Common Factor of 21546 and 21565?

Greatest common factor (GCF) of 21546 and 21565 is 19.

GCF(21546,21565) = 19

We will now calculate the prime factors of 21546 and 21565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21546 and 21565.

How to find the GCF of 21546 and 21565?

We will first find the prime factorization of 21546 and 21565. After we will calculate the factors of 21546 and 21565 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 21565

Prime factors of 21565 are 5, 19, 227. Prime factorization of 21565 in exponential form is:

21565 = 5¹ × 19¹ × 227¹

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 21565

List of positive integer factors of 21565 that divides 21546 without a remainder.

1, 5, 19, 95, 227, 1135, 4313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21546 and 21565. The biggest common factor number is the GCF number.
So the greatest common factor 21546 and 21565 is 19.

Also check out the Least Common Multiple of 21546 and 21565