What is the Greatest Common Factor of 42272 and 42288?

Greatest common factor (GCF) of 42272 and 42288 is 16.

GCF(42272,42288) = 16

We will now calculate the prime factors of 42272 and 42288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42272 and 42288.

How to find the GCF of 42272 and 42288?

We will first find the prime factorization of 42272 and 42288. After we will calculate the factors of 42272 and 42288 and find the biggest common factor number .

Step-1: Prime Factorization of 42272

Prime factors of 42272 are 2, 1321. Prime factorization of 42272 in exponential form is:

42272 = 2⁵ × 1321¹

Step-2: Prime Factorization of 42288

Prime factors of 42288 are 2, 3, 881. Prime factorization of 42288 in exponential form is:

42288 = 2⁴ × 3¹ × 881¹

Step-3: Factors of 42272

List of positive integer factors of 42272 that divides 42272 without a remainder.

1, 2, 4, 8, 16, 32, 1321, 2642, 5284, 10568, 21136

Step-4: Factors of 42288

List of positive integer factors of 42288 that divides 42272 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 881, 1762, 2643, 3524, 5286, 7048, 10572, 14096, 21144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42272 and 42288. The biggest common factor number is the GCF number.
So the greatest common factor 42272 and 42288 is 16.

Also check out the Least Common Multiple of 42272 and 42288