What is the Greatest Common Factor of 64165 and 64175?

Greatest common factor (GCF) of 64165 and 64175 is 5.

GCF(64165,64175) = 5

We will now calculate the prime factors of 64165 and 64175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64165 and 64175.

How to find the GCF of 64165 and 64175?

We will first find the prime factorization of 64165 and 64175. After we will calculate the factors of 64165 and 64175 and find the biggest common factor number .

Step-1: Prime Factorization of 64165

Prime factors of 64165 are 5, 41, 313. Prime factorization of 64165 in exponential form is:

64165 = 5¹ × 41¹ × 313¹

Step-2: Prime Factorization of 64175

Prime factors of 64175 are 5, 17, 151. Prime factorization of 64175 in exponential form is:

64175 = 5² × 17¹ × 151¹

Step-3: Factors of 64165

List of positive integer factors of 64165 that divides 64165 without a remainder.

1, 5, 41, 205, 313, 1565, 12833

Step-4: Factors of 64175

List of positive integer factors of 64175 that divides 64165 without a remainder.

1, 5, 17, 25, 85, 151, 425, 755, 2567, 3775, 12835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64165 and 64175. The biggest common factor number is the GCF number.
So the greatest common factor 64165 and 64175 is 5.

Also check out the Least Common Multiple of 64165 and 64175