What is the Greatest Common Factor of 40272 and 40288?

Greatest common factor (GCF) of 40272 and 40288 is 16.

GCF(40272,40288) = 16

We will now calculate the prime factors of 40272 and 40288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40272 and 40288.

How to find the GCF of 40272 and 40288?

We will first find the prime factorization of 40272 and 40288. After we will calculate the factors of 40272 and 40288 and find the biggest common factor number .

Step-1: Prime Factorization of 40272

Prime factors of 40272 are 2, 3, 839. Prime factorization of 40272 in exponential form is:

40272 = 2⁴ × 3¹ × 839¹

Step-2: Prime Factorization of 40288

Prime factors of 40288 are 2, 1259. Prime factorization of 40288 in exponential form is:

40288 = 2⁵ × 1259¹

Step-3: Factors of 40272

List of positive integer factors of 40272 that divides 40272 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 839, 1678, 2517, 3356, 5034, 6712, 10068, 13424, 20136

Step-4: Factors of 40288

List of positive integer factors of 40288 that divides 40272 without a remainder.

1, 2, 4, 8, 16, 32, 1259, 2518, 5036, 10072, 20144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40272 and 40288. The biggest common factor number is the GCF number.
So the greatest common factor 40272 and 40288 is 16.

Also check out the Least Common Multiple of 40272 and 40288