What is the Greatest Common Factor of 18492 and 18512?

Greatest common factor (GCF) of 18492 and 18512 is 4.

GCF(18492,18512) = 4

We will now calculate the prime factors of 18492 and 18512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18492 and 18512.

How to find the GCF of 18492 and 18512?

We will first find the prime factorization of 18492 and 18512. After we will calculate the factors of 18492 and 18512 and find the biggest common factor number .

Step-1: Prime Factorization of 18492

Prime factors of 18492 are 2, 3, 23, 67. Prime factorization of 18492 in exponential form is:

18492 = 2² × 3¹ × 23¹ × 67¹

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 18492

List of positive integer factors of 18492 that divides 18492 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 67, 69, 92, 134, 138, 201, 268, 276, 402, 804, 1541, 3082, 4623, 6164, 9246

Step-4: Factors of 18512

List of positive integer factors of 18512 that divides 18492 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 18492 and 18512. The biggest common factor number is the GCF number.
So the greatest common factor 18492 and 18512 is 4.

Also check out the Least Common Multiple of 18492 and 18512