What is the Greatest Common Factor of 42274 and 42288?

Greatest common factor (GCF) of 42274 and 42288 is 2.

GCF(42274,42288) = 2

We will now calculate the prime factors of 42274 and 42288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42274 and 42288.

How to find the GCF of 42274 and 42288?

We will first find the prime factorization of 42274 and 42288. After we will calculate the factors of 42274 and 42288 and find the biggest common factor number .

Step-1: Prime Factorization of 42274

Prime factors of 42274 are 2, 23, 919. Prime factorization of 42274 in exponential form is:

42274 = 2¹ × 23¹ × 919¹

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 42274

List of positive integer factors of 42274 that divides 42274 without a remainder.

1, 2, 23, 46, 919, 1838, 21137

Step-4: Factors of 42288

List of positive integer factors of 42288 that divides 42274 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 42274 and 42288. The biggest common factor number is the GCF number.
So the greatest common factor 42274 and 42288 is 2.

Also check out the Least Common Multiple of 42274 and 42288