What is the Greatest Common Factor of 18524 and 18544?

Greatest common factor (GCF) of 18524 and 18544 is 4.

GCF(18524,18544) = 4

We will now calculate the prime factors of 18524 and 18544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18524 and 18544.

How to find the GCF of 18524 and 18544?

We will first find the prime factorization of 18524 and 18544. After we will calculate the factors of 18524 and 18544 and find the biggest common factor number .

Step-1: Prime Factorization of 18524

Prime factors of 18524 are 2, 11, 421. Prime factorization of 18524 in exponential form is:

18524 = 2² × 11¹ × 421¹

Step-2: 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-3: Factors of 18524

List of positive integer factors of 18524 that divides 18524 without a remainder.

1, 2, 4, 11, 22, 44, 421, 842, 1684, 4631, 9262

Step-4: Factors of 18544

List of positive integer factors of 18544 that divides 18524 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18524 and 18544. The biggest common factor number is the GCF number.
So the greatest common factor 18524 and 18544 is 4.

Also check out the Least Common Multiple of 18524 and 18544