What is the Greatest Common Factor of 18496 and 18512?

Greatest common factor (GCF) of 18496 and 18512 is 16.

GCF(18496,18512) = 16

We will now calculate the prime factors of 18496 and 18512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18496 and 18512.

How to find the GCF of 18496 and 18512?

We will first find the prime factorization of 18496 and 18512. After we will calculate the factors of 18496 and 18512 and find the biggest common factor number .

Step-1: Prime Factorization of 18496

Prime factors of 18496 are 2, 17. Prime factorization of 18496 in exponential form is:

18496 = 2⁶ × 17²

Step-2: Prime Factorization of 18512

Prime factors of 18512 are 2, 13, 89. Prime factorization of 18512 in exponential form is:

18512 = 2⁴ × 13¹ × 89¹

Step-3: Factors of 18496

List of positive integer factors of 18496 that divides 18496 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 289, 544, 578, 1088, 1156, 2312, 4624, 9248

Step-4: Factors of 18512

List of positive integer factors of 18512 that divides 18496 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 89, 104, 178, 208, 356, 712, 1157, 1424, 2314, 4628, 9256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18496 and 18512. The biggest common factor number is the GCF number.
So the greatest common factor 18496 and 18512 is 16.

Also check out the Least Common Multiple of 18496 and 18512