What is the Greatest Common Factor of 64440 and 64454?

Greatest common factor (GCF) of 64440 and 64454 is 2.

GCF(64440,64454) = 2

We will now calculate the prime factors of 64440 and 64454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64440 and 64454.

How to find the GCF of 64440 and 64454?

We will first find the prime factorization of 64440 and 64454. After we will calculate the factors of 64440 and 64454 and find the biggest common factor number .

Step-1: Prime Factorization of 64440

Prime factors of 64440 are 2, 3, 5, 179. Prime factorization of 64440 in exponential form is:

64440 = 2³ × 3² × 5¹ × 179¹

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 64440

List of positive integer factors of 64440 that divides 64440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 179, 180, 358, 360, 537, 716, 895, 1074, 1432, 1611, 1790, 2148, 2685, 3222, 3580, 4296, 5370, 6444, 7160, 8055, 10740, 12888, 16110, 21480, 32220

Step-4: Factors of 64454

List of positive integer factors of 64454 that divides 64440 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 64440 and 64454. The biggest common factor number is the GCF number.
So the greatest common factor 64440 and 64454 is 2.

Also check out the Least Common Multiple of 64440 and 64454