What is the Greatest Common Factor of 64320 and 64325?

Greatest common factor (GCF) of 64320 and 64325 is 5.

GCF(64320,64325) = 5

We will now calculate the prime factors of 64320 and 64325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64320 and 64325.

How to find the GCF of 64320 and 64325?

We will first find the prime factorization of 64320 and 64325. After we will calculate the factors of 64320 and 64325 and find the biggest common factor number .

Step-1: Prime Factorization of 64320

Prime factors of 64320 are 2, 3, 5, 67. Prime factorization of 64320 in exponential form is:

64320 = 2⁶ × 3¹ × 5¹ × 67¹

Step-2: Prime Factorization of 64325

Prime factors of 64325 are 5, 31, 83. Prime factorization of 64325 in exponential form is:

64325 = 5² × 31¹ × 83¹

Step-3: Factors of 64320

List of positive integer factors of 64320 that divides 64320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 67, 80, 96, 120, 134, 160, 192, 201, 240, 268, 320, 335, 402, 480, 536, 670, 804, 960, 1005, 1072, 1340, 1608, 2010, 2144, 2680, 3216, 4020, 4288, 5360, 6432, 8040, 10720, 12864, 16080, 21440, 32160

Step-4: Factors of 64325

List of positive integer factors of 64325 that divides 64320 without a remainder.

1, 5, 25, 31, 83, 155, 415, 775, 2075, 2573, 12865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64320 and 64325. The biggest common factor number is the GCF number.
So the greatest common factor 64320 and 64325 is 5.

Also check out the Least Common Multiple of 64320 and 64325