What is the Greatest Common Factor of 42671 and 42688?

Greatest common factor (GCF) of 42671 and 42688 is 1.

GCF(42671,42688) = 1

We will now calculate the prime factors of 42671 and 42688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42671 and 42688.

How to find the GCF of 42671 and 42688?

We will first find the prime factorization of 42671 and 42688. After we will calculate the factors of 42671 and 42688 and find the biggest common factor number .

Step-1: Prime Factorization of 42671

Prime factors of 42671 are 71, 601. Prime factorization of 42671 in exponential form is:

42671 = 71¹ × 601¹

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 42671

List of positive integer factors of 42671 that divides 42671 without a remainder.

1, 71, 601

Step-4: Factors of 42688

List of positive integer factors of 42688 that divides 42671 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 42671 and 42688. The biggest common factor number is the GCF number.
So the greatest common factor 42671 and 42688 is 1.

Also check out the Least Common Multiple of 42671 and 42688