What is the Greatest Common Factor of 40272 and 40280?

Greatest common factor (GCF) of 40272 and 40280 is 8.

GCF(40272,40280) = 8

We will now calculate the prime factors of 40272 and 40280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40272 and 40280.

How to find the GCF of 40272 and 40280?

We will first find the prime factorization of 40272 and 40280. After we will calculate the factors of 40272 and 40280 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 40280

Prime factors of 40280 are 2, 5, 19, 53. Prime factorization of 40280 in exponential form is:

40280 = 2³ × 5¹ × 19¹ × 53¹

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 40280

List of positive integer factors of 40280 that divides 40272 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 53, 76, 95, 106, 152, 190, 212, 265, 380, 424, 530, 760, 1007, 1060, 2014, 2120, 4028, 5035, 8056, 10070, 20140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40272 and 40280. The biggest common factor number is the GCF number.
So the greatest common factor 40272 and 40280 is 8.

Also check out the Least Common Multiple of 40272 and 40280