What is the Greatest Common Factor of 64345 and 64360?

Greatest common factor (GCF) of 64345 and 64360 is 5.

GCF(64345,64360) = 5

We will now calculate the prime factors of 64345 and 64360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64345 and 64360.

How to find the GCF of 64345 and 64360?

We will first find the prime factorization of 64345 and 64360. After we will calculate the factors of 64345 and 64360 and find the biggest common factor number .

Step-1: Prime Factorization of 64345

Prime factors of 64345 are 5, 17, 757. Prime factorization of 64345 in exponential form is:

64345 = 5¹ × 17¹ × 757¹

Step-2: Prime Factorization of 64360

Prime factors of 64360 are 2, 5, 1609. Prime factorization of 64360 in exponential form is:

64360 = 2³ × 5¹ × 1609¹

Step-3: Factors of 64345

List of positive integer factors of 64345 that divides 64345 without a remainder.

1, 5, 17, 85, 757, 3785, 12869

Step-4: Factors of 64360

List of positive integer factors of 64360 that divides 64345 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1609, 3218, 6436, 8045, 12872, 16090, 32180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64345 and 64360. The biggest common factor number is the GCF number.
So the greatest common factor 64345 and 64360 is 5.

Also check out the Least Common Multiple of 64345 and 64360