What is the Greatest Common Factor of 42674 and 42684?

Greatest common factor (GCF) of 42674 and 42684 is 2.

GCF(42674,42684) = 2

We will now calculate the prime factors of 42674 and 42684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42674 and 42684.

How to find the GCF of 42674 and 42684?

We will first find the prime factorization of 42674 and 42684. After we will calculate the factors of 42674 and 42684 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42684

Prime factors of 42684 are 2, 3, 3557. Prime factorization of 42684 in exponential form is:

42684 = 2² × 3¹ × 3557¹

Step-3: Factors of 42674

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

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

Step-4: Factors of 42684

List of positive integer factors of 42684 that divides 42674 without a remainder.

1, 2, 3, 4, 6, 12, 3557, 7114, 10671, 14228, 21342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42674 and 42684. The biggest common factor number is the GCF number.
So the greatest common factor 42674 and 42684 is 2.

Also check out the Least Common Multiple of 42674 and 42684