What is the Greatest Common Factor of 18272 and 18278?

Greatest common factor (GCF) of 18272 and 18278 is 2.

GCF(18272,18278) = 2

We will now calculate the prime factors of 18272 and 18278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18272 and 18278.

How to find the GCF of 18272 and 18278?

We will first find the prime factorization of 18272 and 18278. After we will calculate the factors of 18272 and 18278 and find the biggest common factor number .

Step-1: Prime Factorization of 18272

Prime factors of 18272 are 2, 571. Prime factorization of 18272 in exponential form is:

18272 = 2⁵ × 571¹

Step-2: Prime Factorization of 18278

Prime factors of 18278 are 2, 13, 19, 37. Prime factorization of 18278 in exponential form is:

18278 = 2¹ × 13¹ × 19¹ × 37¹

Step-3: Factors of 18272

List of positive integer factors of 18272 that divides 18272 without a remainder.

1, 2, 4, 8, 16, 32, 571, 1142, 2284, 4568, 9136

Step-4: Factors of 18278

List of positive integer factors of 18278 that divides 18272 without a remainder.

1, 2, 13, 19, 26, 37, 38, 74, 247, 481, 494, 703, 962, 1406, 9139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18272 and 18278. The biggest common factor number is the GCF number.
So the greatest common factor 18272 and 18278 is 2.

Also check out the Least Common Multiple of 18272 and 18278