What is the Greatest Common Factor of 18634 and 18648?

Greatest common factor (GCF) of 18634 and 18648 is 14.

GCF(18634,18648) = 14

We will now calculate the prime factors of 18634 and 18648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18634 and 18648.

How to find the GCF of 18634 and 18648?

We will first find the prime factorization of 18634 and 18648. After we will calculate the factors of 18634 and 18648 and find the biggest common factor number .

Step-1: Prime Factorization of 18634

Prime factors of 18634 are 2, 7, 11. Prime factorization of 18634 in exponential form is:

18634 = 2¹ × 7¹ × 11³

Step-2: Prime Factorization of 18648

Prime factors of 18648 are 2, 3, 7, 37. Prime factorization of 18648 in exponential form is:

18648 = 2³ × 3² × 7¹ × 37¹

Step-3: Factors of 18634

List of positive integer factors of 18634 that divides 18634 without a remainder.

1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1331, 1694, 2662, 9317

Step-4: Factors of 18648

List of positive integer factors of 18648 that divides 18634 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 37, 42, 56, 63, 72, 74, 84, 111, 126, 148, 168, 222, 252, 259, 296, 333, 444, 504, 518, 666, 777, 888, 1036, 1332, 1554, 2072, 2331, 2664, 3108, 4662, 6216, 9324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18634 and 18648. The biggest common factor number is the GCF number.
So the greatest common factor 18634 and 18648 is 14.

Also check out the Least Common Multiple of 18634 and 18648