What is the Greatest Common Factor of 64269 and 64275?

Greatest common factor (GCF) of 64269 and 64275 is 3.

GCF(64269,64275) = 3

We will now calculate the prime factors of 64269 and 64275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64269 and 64275.

How to find the GCF of 64269 and 64275?

We will first find the prime factorization of 64269 and 64275. After we will calculate the factors of 64269 and 64275 and find the biggest common factor number .

Step-1: Prime Factorization of 64269

Prime factors of 64269 are 3, 37, 193. Prime factorization of 64269 in exponential form is:

64269 = 3² × 37¹ × 193¹

Step-2: Prime Factorization of 64275

Prime factors of 64275 are 3, 5, 857. Prime factorization of 64275 in exponential form is:

64275 = 3¹ × 5² × 857¹

Step-3: Factors of 64269

List of positive integer factors of 64269 that divides 64269 without a remainder.

1, 3, 9, 37, 111, 193, 333, 579, 1737, 7141, 21423

Step-4: Factors of 64275

List of positive integer factors of 64275 that divides 64269 without a remainder.

1, 3, 5, 15, 25, 75, 857, 2571, 4285, 12855, 21425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64269 and 64275. The biggest common factor number is the GCF number.
So the greatest common factor 64269 and 64275 is 3.

Also check out the Least Common Multiple of 64269 and 64275