What is the Greatest Common Factor of 42432 and 42448?

Greatest common factor (GCF) of 42432 and 42448 is 16.

GCF(42432,42448) = 16

We will now calculate the prime factors of 42432 and 42448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42432 and 42448.

How to find the GCF of 42432 and 42448?

We will first find the prime factorization of 42432 and 42448. After we will calculate the factors of 42432 and 42448 and find the biggest common factor number .

Step-1: Prime Factorization of 42432

Prime factors of 42432 are 2, 3, 13, 17. Prime factorization of 42432 in exponential form is:

42432 = 2⁶ × 3¹ × 13¹ × 17¹

Step-2: Prime Factorization of 42448

Prime factors of 42448 are 2, 7, 379. Prime factorization of 42448 in exponential form is:

42448 = 2⁴ × 7¹ × 379¹

Step-3: Factors of 42432

List of positive integer factors of 42432 that divides 42432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 17, 24, 26, 32, 34, 39, 48, 51, 52, 64, 68, 78, 96, 102, 104, 136, 156, 192, 204, 208, 221, 272, 312, 408, 416, 442, 544, 624, 663, 816, 832, 884, 1088, 1248, 1326, 1632, 1768, 2496, 2652, 3264, 3536, 5304, 7072, 10608, 14144, 21216

Step-4: Factors of 42448

List of positive integer factors of 42448 that divides 42432 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 379, 758, 1516, 2653, 3032, 5306, 6064, 10612, 21224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42432 and 42448. The biggest common factor number is the GCF number.
So the greatest common factor 42432 and 42448 is 16.

Also check out the Least Common Multiple of 42432 and 42448