What is the Greatest Common Factor of 64448 and 64454?

Greatest common factor (GCF) of 64448 and 64454 is 2.

GCF(64448,64454) = 2

We will now calculate the prime factors of 64448 and 64454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64448 and 64454.

How to find the GCF of 64448 and 64454?

We will first find the prime factorization of 64448 and 64454. After we will calculate the factors of 64448 and 64454 and find the biggest common factor number .

Step-1: Prime Factorization of 64448

Prime factors of 64448 are 2, 19, 53. Prime factorization of 64448 in exponential form is:

64448 = 2⁶ × 19¹ × 53¹

Step-2: Prime Factorization of 64454

Prime factors of 64454 are 2, 13, 37, 67. Prime factorization of 64454 in exponential form is:

64454 = 2¹ × 13¹ × 37¹ × 67¹

Step-3: Factors of 64448

List of positive integer factors of 64448 that divides 64448 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 53, 64, 76, 106, 152, 212, 304, 424, 608, 848, 1007, 1216, 1696, 2014, 3392, 4028, 8056, 16112, 32224

Step-4: Factors of 64454

List of positive integer factors of 64454 that divides 64448 without a remainder.

1, 2, 13, 26, 37, 67, 74, 134, 481, 871, 962, 1742, 2479, 4958, 32227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64448 and 64454. The biggest common factor number is the GCF number.
So the greatest common factor 64448 and 64454 is 2.

Also check out the Least Common Multiple of 64448 and 64454