What is the Greatest Common Factor of 18652 and 18662?

Greatest common factor (GCF) of 18652 and 18662 is 2.

GCF(18652,18662) = 2

We will now calculate the prime factors of 18652 and 18662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18652 and 18662.

How to find the GCF of 18652 and 18662?

We will first find the prime factorization of 18652 and 18662. After we will calculate the factors of 18652 and 18662 and find the biggest common factor number .

Step-1: Prime Factorization of 18652

Prime factors of 18652 are 2, 4663. Prime factorization of 18652 in exponential form is:

18652 = 2² × 4663¹

Step-2: Prime Factorization of 18662

Prime factors of 18662 are 2, 7, 31, 43. Prime factorization of 18662 in exponential form is:

18662 = 2¹ × 7¹ × 31¹ × 43¹

Step-3: Factors of 18652

List of positive integer factors of 18652 that divides 18652 without a remainder.

1, 2, 4, 4663, 9326

Step-4: Factors of 18662

List of positive integer factors of 18662 that divides 18652 without a remainder.

1, 2, 7, 14, 31, 43, 62, 86, 217, 301, 434, 602, 1333, 2666, 9331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18652 and 18662. The biggest common factor number is the GCF number.
So the greatest common factor 18652 and 18662 is 2.

Also check out the Least Common Multiple of 18652 and 18662