What is the Greatest Common Factor of 64440 and 64450?

Greatest common factor (GCF) of 64440 and 64450 is 10.

GCF(64440,64450) = 10

We will now calculate the prime factors of 64440 and 64450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64440 and 64450.

How to find the GCF of 64440 and 64450?

We will first find the prime factorization of 64440 and 64450. After we will calculate the factors of 64440 and 64450 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 64450

Prime factors of 64450 are 2, 5, 1289. Prime factorization of 64450 in exponential form is:

64450 = 2¹ × 5² × 1289¹

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 64450

List of positive integer factors of 64450 that divides 64440 without a remainder.

1, 2, 5, 10, 25, 50, 1289, 2578, 6445, 12890, 32225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64440 and 64450. The biggest common factor number is the GCF number.
So the greatest common factor 64440 and 64450 is 10.

Also check out the Least Common Multiple of 64440 and 64450