What is the Greatest Common Factor of 42458 and 42471?

Greatest common factor (GCF) of 42458 and 42471 is 13.

GCF(42458,42471) = 13

We will now calculate the prime factors of 42458 and 42471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42458 and 42471.

How to find the GCF of 42458 and 42471?

We will first find the prime factorization of 42458 and 42471. After we will calculate the factors of 42458 and 42471 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42471

Prime factors of 42471 are 3, 11, 13. Prime factorization of 42471 in exponential form is:

42471 = 3³ × 11² × 13¹

Step-3: Factors of 42458

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

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

Step-4: Factors of 42471

List of positive integer factors of 42471 that divides 42458 without a remainder.

1, 3, 9, 11, 13, 27, 33, 39, 99, 117, 121, 143, 297, 351, 363, 429, 1089, 1287, 1573, 3267, 3861, 4719, 14157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42458 and 42471. The biggest common factor number is the GCF number.
So the greatest common factor 42458 and 42471 is 13.

Also check out the Least Common Multiple of 42458 and 42471