What is the Greatest Common Factor of 42471 and 42484?

Greatest common factor (GCF) of 42471 and 42484 is 13.

GCF(42471,42484) = 13

We will now calculate the prime factors of 42471 and 42484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42471 and 42484.

How to find the GCF of 42471 and 42484?

We will first find the prime factorization of 42471 and 42484. After we will calculate the factors of 42471 and 42484 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42484

Prime factors of 42484 are 2, 13, 19, 43. Prime factorization of 42484 in exponential form is:

42484 = 2² × 13¹ × 19¹ × 43¹

Step-3: Factors of 42471

List of positive integer factors of 42471 that divides 42471 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

Step-4: Factors of 42484

List of positive integer factors of 42484 that divides 42471 without a remainder.

1, 2, 4, 13, 19, 26, 38, 43, 52, 76, 86, 172, 247, 494, 559, 817, 988, 1118, 1634, 2236, 3268, 10621, 21242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42471 and 42484. The biggest common factor number is the GCF number.
So the greatest common factor 42471 and 42484 is 13.

Also check out the Least Common Multiple of 42471 and 42484