What is the Greatest Common Factor of 42448 and 42464?

Greatest common factor (GCF) of 42448 and 42464 is 16.

GCF(42448,42464) = 16

We will now calculate the prime factors of 42448 and 42464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42448 and 42464.

How to find the GCF of 42448 and 42464?

We will first find the prime factorization of 42448 and 42464. After we will calculate the factors of 42448 and 42464 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 42464

Prime factors of 42464 are 2, 1327. Prime factorization of 42464 in exponential form is:

42464 = 2⁵ × 1327¹

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 42464

List of positive integer factors of 42464 that divides 42448 without a remainder.

1, 2, 4, 8, 16, 32, 1327, 2654, 5308, 10616, 21232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42448 and 42464. The biggest common factor number is the GCF number.
So the greatest common factor 42448 and 42464 is 16.

Also check out the Least Common Multiple of 42448 and 42464