What is the Greatest Common Factor of 42662 and 42668?

Greatest common factor (GCF) of 42662 and 42668 is 2.

GCF(42662,42668) = 2

We will now calculate the prime factors of 42662 and 42668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42662 and 42668.

How to find the GCF of 42662 and 42668?

We will first find the prime factorization of 42662 and 42668. After we will calculate the factors of 42662 and 42668 and find the biggest common factor number .

Step-1: Prime Factorization of 42662

Prime factors of 42662 are 2, 83, 257. Prime factorization of 42662 in exponential form is:

42662 = 2¹ × 83¹ × 257¹

Step-2: Prime Factorization of 42668

Prime factors of 42668 are 2, 10667. Prime factorization of 42668 in exponential form is:

42668 = 2² × 10667¹

Step-3: Factors of 42662

List of positive integer factors of 42662 that divides 42662 without a remainder.

1, 2, 83, 166, 257, 514, 21331

Step-4: Factors of 42668

List of positive integer factors of 42668 that divides 42662 without a remainder.

1, 2, 4, 10667, 21334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42662 and 42668. The biggest common factor number is the GCF number.
So the greatest common factor 42662 and 42668 is 2.

Also check out the Least Common Multiple of 42662 and 42668