What is the Greatest Common Factor of 40272 and 40279?

Greatest common factor (GCF) of 40272 and 40279 is 1.

GCF(40272,40279) = 1

We will now calculate the prime factors of 40272 and 40279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40272 and 40279.

How to find the GCF of 40272 and 40279?

We will first find the prime factorization of 40272 and 40279. After we will calculate the factors of 40272 and 40279 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 40279

Prime factors of 40279 are 47, 857. Prime factorization of 40279 in exponential form is:

40279 = 47¹ × 857¹

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 40279

List of positive integer factors of 40279 that divides 40272 without a remainder.

1, 47, 857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40272 and 40279. The biggest common factor number is the GCF number.
So the greatest common factor 40272 and 40279 is 1.

Also check out the Least Common Multiple of 40272 and 40279