What is the Greatest Common Factor of 42448 and 42456?

Greatest common factor (GCF) of 42448 and 42456 is 8.

GCF(42448,42456) = 8

We will now calculate the prime factors of 42448 and 42456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42448 and 42456.

How to find the GCF of 42448 and 42456?

We will first find the prime factorization of 42448 and 42456. After we will calculate the factors of 42448 and 42456 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42456

Prime factors of 42456 are 2, 3, 29, 61. Prime factorization of 42456 in exponential form is:

42456 = 2³ × 3¹ × 29¹ × 61¹

Step-3: Factors of 42448

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

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

Step-4: Factors of 42456

List of positive integer factors of 42456 that divides 42448 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 61, 87, 116, 122, 174, 183, 232, 244, 348, 366, 488, 696, 732, 1464, 1769, 3538, 5307, 7076, 10614, 14152, 21228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42448 and 42456. The biggest common factor number is the GCF number.
So the greatest common factor 42448 and 42456 is 8.

Also check out the Least Common Multiple of 42448 and 42456