What is the Greatest Common Factor of 64500 and 64507?

Greatest common factor (GCF) of 64500 and 64507 is 1.

GCF(64500,64507) = 1

We will now calculate the prime factors of 64500 and 64507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64500 and 64507.

How to find the GCF of 64500 and 64507?

We will first find the prime factorization of 64500 and 64507. After we will calculate the factors of 64500 and 64507 and find the biggest common factor number .

Step-1: Prime Factorization of 64500

Prime factors of 64500 are 2, 3, 5, 43. Prime factorization of 64500 in exponential form is:

64500 = 2² × 3¹ × 5³ × 43¹

Step-2: Prime Factorization of 64507

Prime factors of 64507 are 251, 257. Prime factorization of 64507 in exponential form is:

64507 = 251¹ × 257¹

Step-3: Factors of 64500

List of positive integer factors of 64500 that divides 64500 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 43, 50, 60, 75, 86, 100, 125, 129, 150, 172, 215, 250, 258, 300, 375, 430, 500, 516, 645, 750, 860, 1075, 1290, 1500, 2150, 2580, 3225, 4300, 5375, 6450, 10750, 12900, 16125, 21500, 32250

Step-4: Factors of 64507

List of positive integer factors of 64507 that divides 64500 without a remainder.

1, 251, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64500 and 64507. The biggest common factor number is the GCF number.
So the greatest common factor 64500 and 64507 is 1.

Also check out the Least Common Multiple of 64500 and 64507