What is the Greatest Common Factor of 18732 and 18738?

Greatest common factor (GCF) of 18732 and 18738 is 6.

GCF(18732,18738) = 6

We will now calculate the prime factors of 18732 and 18738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18732 and 18738.

How to find the GCF of 18732 and 18738?

We will first find the prime factorization of 18732 and 18738. After we will calculate the factors of 18732 and 18738 and find the biggest common factor number .

Step-1: Prime Factorization of 18732

Prime factors of 18732 are 2, 3, 7, 223. Prime factorization of 18732 in exponential form is:

18732 = 2² × 3¹ × 7¹ × 223¹

Step-2: Prime Factorization of 18738

Prime factors of 18738 are 2, 3, 347. Prime factorization of 18738 in exponential form is:

18738 = 2¹ × 3³ × 347¹

Step-3: Factors of 18732

List of positive integer factors of 18732 that divides 18732 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 223, 446, 669, 892, 1338, 1561, 2676, 3122, 4683, 6244, 9366

Step-4: Factors of 18738

List of positive integer factors of 18738 that divides 18732 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 347, 694, 1041, 2082, 3123, 6246, 9369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18732 and 18738. The biggest common factor number is the GCF number.
So the greatest common factor 18732 and 18738 is 6.

Also check out the Least Common Multiple of 18732 and 18738