What is the Greatest Common Factor of 18512 and 18526?

Greatest common factor (GCF) of 18512 and 18526 is 2.

GCF(18512,18526) = 2

We will now calculate the prime factors of 18512 and 18526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18512 and 18526.

How to find the GCF of 18512 and 18526?

We will first find the prime factorization of 18512 and 18526. After we will calculate the factors of 18512 and 18526 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18526

Prime factors of 18526 are 2, 59, 157. Prime factorization of 18526 in exponential form is:

18526 = 2¹ × 59¹ × 157¹

Step-3: Factors of 18512

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

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

Step-4: Factors of 18526

List of positive integer factors of 18526 that divides 18512 without a remainder.

1, 2, 59, 118, 157, 314, 9263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18512 and 18526. The biggest common factor number is the GCF number.
So the greatest common factor 18512 and 18526 is 2.

Also check out the Least Common Multiple of 18512 and 18526