What is the Greatest Common Factor of 42438 and 42458?

Greatest common factor (GCF) of 42438 and 42458 is 2.

GCF(42438,42458) = 2

We will now calculate the prime factors of 42438 and 42458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42438 and 42458.

How to find the GCF of 42438 and 42458?

We will first find the prime factorization of 42438 and 42458. After we will calculate the factors of 42438 and 42458 and find the biggest common factor number .

Step-1: Prime Factorization of 42438

Prime factors of 42438 are 2, 3, 11, 643. Prime factorization of 42438 in exponential form is:

42438 = 2¹ × 3¹ × 11¹ × 643¹

Step-2: Prime Factorization of 42458

Prime factors of 42458 are 2, 13, 23, 71. Prime factorization of 42458 in exponential form is:

42458 = 2¹ × 13¹ × 23¹ × 71¹

Step-3: Factors of 42438

List of positive integer factors of 42438 that divides 42438 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 643, 1286, 1929, 3858, 7073, 14146, 21219

Step-4: Factors of 42458

List of positive integer factors of 42458 that divides 42438 without a remainder.

1, 2, 13, 23, 26, 46, 71, 142, 299, 598, 923, 1633, 1846, 3266, 21229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42438 and 42458. The biggest common factor number is the GCF number.
So the greatest common factor 42438 and 42458 is 2.

Also check out the Least Common Multiple of 42438 and 42458