What is the Greatest Common Factor of 18544 and 18564?

Greatest common factor (GCF) of 18544 and 18564 is 4.

GCF(18544,18564) = 4

We will now calculate the prime factors of 18544 and 18564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18544 and 18564.

How to find the GCF of 18544 and 18564?

We will first find the prime factorization of 18544 and 18564. After we will calculate the factors of 18544 and 18564 and find the biggest common factor number .

Step-1: Prime Factorization of 18544

Prime factors of 18544 are 2, 19, 61. Prime factorization of 18544 in exponential form is:

18544 = 2⁴ × 19¹ × 61¹

Step-2: Prime Factorization of 18564

Prime factors of 18564 are 2, 3, 7, 13, 17. Prime factorization of 18564 in exponential form is:

18564 = 2² × 3¹ × 7¹ × 13¹ × 17¹

Step-3: Factors of 18544

List of positive integer factors of 18544 that divides 18544 without a remainder.

1, 2, 4, 8, 16, 19, 38, 61, 76, 122, 152, 244, 304, 488, 976, 1159, 2318, 4636, 9272

Step-4: Factors of 18564

List of positive integer factors of 18564 that divides 18544 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 17, 21, 26, 28, 34, 39, 42, 51, 52, 68, 78, 84, 91, 102, 119, 156, 182, 204, 221, 238, 273, 357, 364, 442, 476, 546, 663, 714, 884, 1092, 1326, 1428, 1547, 2652, 3094, 4641, 6188, 9282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18544 and 18564. The biggest common factor number is the GCF number.
So the greatest common factor 18544 and 18564 is 4.

Also check out the Least Common Multiple of 18544 and 18564