What is the Greatest Common Factor of 18564 and 18574?

Greatest common factor (GCF) of 18564 and 18574 is 2.

GCF(18564,18574) = 2

We will now calculate the prime factors of 18564 and 18574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18564 and 18574.

How to find the GCF of 18564 and 18574?

We will first find the prime factorization of 18564 and 18574. After we will calculate the factors of 18564 and 18574 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18574

Prime factors of 18574 are 2, 37, 251. Prime factorization of 18574 in exponential form is:

18574 = 2¹ × 37¹ × 251¹

Step-3: Factors of 18564

List of positive integer factors of 18564 that divides 18564 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

Step-4: Factors of 18574

List of positive integer factors of 18574 that divides 18564 without a remainder.

1, 2, 37, 74, 251, 502, 9287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18564 and 18574. The biggest common factor number is the GCF number.
So the greatest common factor 18564 and 18574 is 2.

Also check out the Least Common Multiple of 18564 and 18574