What is the Greatest Common Factor of 42668 and 42674?

Greatest common factor (GCF) of 42668 and 42674 is 2.

GCF(42668,42674) = 2

We will now calculate the prime factors of 42668 and 42674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42668 and 42674.

How to find the GCF of 42668 and 42674?

We will first find the prime factorization of 42668 and 42674. After we will calculate the factors of 42668 and 42674 and find the biggest common factor number .

Step-1: Prime Factorization of 42668

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

42668 = 2² × 10667¹

Step-2: Prime Factorization of 42674

Prime factors of 42674 are 2, 19, 1123. Prime factorization of 42674 in exponential form is:

42674 = 2¹ × 19¹ × 1123¹

Step-3: Factors of 42668

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

1, 2, 4, 10667, 21334

Step-4: Factors of 42674

List of positive integer factors of 42674 that divides 42668 without a remainder.

1, 2, 19, 38, 1123, 2246, 21337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42668 and 42674. The biggest common factor number is the GCF number.
So the greatest common factor 42668 and 42674 is 2.

Also check out the Least Common Multiple of 42668 and 42674