What is the Greatest Common Factor of 42664 and 42671?

Greatest common factor (GCF) of 42664 and 42671 is 1.

GCF(42664,42671) = 1

We will now calculate the prime factors of 42664 and 42671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42664 and 42671.

How to find the GCF of 42664 and 42671?

We will first find the prime factorization of 42664 and 42671. After we will calculate the factors of 42664 and 42671 and find the biggest common factor number .

Step-1: Prime Factorization of 42664

Prime factors of 42664 are 2, 5333. Prime factorization of 42664 in exponential form is:

42664 = 2³ × 5333¹

Step-2: Prime Factorization of 42671

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

42671 = 71¹ × 601¹

Step-3: Factors of 42664

List of positive integer factors of 42664 that divides 42664 without a remainder.

1, 2, 4, 8, 5333, 10666, 21332

Step-4: Factors of 42671

List of positive integer factors of 42671 that divides 42664 without a remainder.

1, 71, 601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42664 and 42671. The biggest common factor number is the GCF number.
So the greatest common factor 42664 and 42671 is 1.

Also check out the Least Common Multiple of 42664 and 42671