What is the Greatest Common Factor of 42728 and 42742?

Greatest common factor (GCF) of 42728 and 42742 is 14.

GCF(42728,42742) = 14

We will now calculate the prime factors of 42728 and 42742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42728 and 42742.

How to find the GCF of 42728 and 42742?

We will first find the prime factorization of 42728 and 42742. After we will calculate the factors of 42728 and 42742 and find the biggest common factor number .

Step-1: Prime Factorization of 42728

Prime factors of 42728 are 2, 7, 109. Prime factorization of 42728 in exponential form is:

42728 = 2³ × 7² × 109¹

Step-2: Prime Factorization of 42742

Prime factors of 42742 are 2, 7, 43, 71. Prime factorization of 42742 in exponential form is:

42742 = 2¹ × 7¹ × 43¹ × 71¹

Step-3: Factors of 42728

List of positive integer factors of 42728 that divides 42728 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 109, 196, 218, 392, 436, 763, 872, 1526, 3052, 5341, 6104, 10682, 21364

Step-4: Factors of 42742

List of positive integer factors of 42742 that divides 42728 without a remainder.

1, 2, 7, 14, 43, 71, 86, 142, 301, 497, 602, 994, 3053, 6106, 21371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42728 and 42742. The biggest common factor number is the GCF number.
So the greatest common factor 42728 and 42742 is 14.

Also check out the Least Common Multiple of 42728 and 42742