What is the Greatest Common Factor of 42678 and 42688?

Greatest common factor (GCF) of 42678 and 42688 is 2.

GCF(42678,42688) = 2

We will now calculate the prime factors of 42678 and 42688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42678 and 42688.

How to find the GCF of 42678 and 42688?

We will first find the prime factorization of 42678 and 42688. After we will calculate the factors of 42678 and 42688 and find the biggest common factor number .

Step-1: Prime Factorization of 42678

Prime factors of 42678 are 2, 3, 2371. Prime factorization of 42678 in exponential form is:

42678 = 2¹ × 3² × 2371¹

Step-2: Prime Factorization of 42688

Prime factors of 42688 are 2, 23, 29. Prime factorization of 42688 in exponential form is:

42688 = 2⁶ × 23¹ × 29¹

Step-3: Factors of 42678

List of positive integer factors of 42678 that divides 42678 without a remainder.

1, 2, 3, 6, 9, 18, 2371, 4742, 7113, 14226, 21339

Step-4: Factors of 42688

List of positive integer factors of 42688 that divides 42678 without a remainder.

1, 2, 4, 8, 16, 23, 29, 32, 46, 58, 64, 92, 116, 184, 232, 368, 464, 667, 736, 928, 1334, 1472, 1856, 2668, 5336, 10672, 21344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42678 and 42688. The biggest common factor number is the GCF number.
So the greatest common factor 42678 and 42688 is 2.

Also check out the Least Common Multiple of 42678 and 42688