What is the Greatest Common Factor of 64530 and 64540?

Greatest common factor (GCF) of 64530 and 64540 is 10.

GCF(64530,64540) = 10

We will now calculate the prime factors of 64530 and 64540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64530 and 64540.

How to find the GCF of 64530 and 64540?

We will first find the prime factorization of 64530 and 64540. After we will calculate the factors of 64530 and 64540 and find the biggest common factor number .

Step-1: Prime Factorization of 64530

Prime factors of 64530 are 2, 3, 5, 239. Prime factorization of 64530 in exponential form is:

64530 = 2¹ × 3³ × 5¹ × 239¹

Step-2: Prime Factorization of 64540

Prime factors of 64540 are 2, 5, 7, 461. Prime factorization of 64540 in exponential form is:

64540 = 2² × 5¹ × 7¹ × 461¹

Step-3: Factors of 64530

List of positive integer factors of 64530 that divides 64530 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 239, 270, 478, 717, 1195, 1434, 2151, 2390, 3585, 4302, 6453, 7170, 10755, 12906, 21510, 32265

Step-4: Factors of 64540

List of positive integer factors of 64540 that divides 64530 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 461, 922, 1844, 2305, 3227, 4610, 6454, 9220, 12908, 16135, 32270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64530 and 64540. The biggest common factor number is the GCF number.
So the greatest common factor 64530 and 64540 is 10.

Also check out the Least Common Multiple of 64530 and 64540