What is the Greatest Common Factor of 64444 and 64448?

Greatest common factor (GCF) of 64444 and 64448 is 4.

GCF(64444,64448) = 4

We will now calculate the prime factors of 64444 and 64448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64444 and 64448.

How to find the GCF of 64444 and 64448?

We will first find the prime factorization of 64444 and 64448. After we will calculate the factors of 64444 and 64448 and find the biggest common factor number .

Step-1: Prime Factorization of 64444

Prime factors of 64444 are 2, 16111. Prime factorization of 64444 in exponential form is:

64444 = 2² × 16111¹

Step-2: 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-3: Factors of 64444

List of positive integer factors of 64444 that divides 64444 without a remainder.

1, 2, 4, 16111, 32222

Step-4: Factors of 64448

List of positive integer factors of 64448 that divides 64444 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64444 and 64448. The biggest common factor number is the GCF number.
So the greatest common factor 64444 and 64448 is 4.

Also check out the Least Common Multiple of 64444 and 64448