What is the Greatest Common Factor of 42664 and 42682?

Greatest common factor (GCF) of 42664 and 42682 is 2.

GCF(42664,42682) = 2

We will now calculate the prime factors of 42664 and 42682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42664 and 42682.

How to find the GCF of 42664 and 42682?

We will first find the prime factorization of 42664 and 42682. After we will calculate the factors of 42664 and 42682 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 42682

Prime factors of 42682 are 2, 21341. Prime factorization of 42682 in exponential form is:

42682 = 2¹ × 21341¹

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 42682

List of positive integer factors of 42682 that divides 42664 without a remainder.

1, 2, 21341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42664 and 42682. The biggest common factor number is the GCF number.
So the greatest common factor 42664 and 42682 is 2.

Also check out the Least Common Multiple of 42664 and 42682