What is the Greatest Common Factor of 64640 and 64650?

Greatest common factor (GCF) of 64640 and 64650 is 10.

GCF(64640,64650) = 10

We will now calculate the prime factors of 64640 and 64650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64640 and 64650.

How to find the GCF of 64640 and 64650?

We will first find the prime factorization of 64640 and 64650. After we will calculate the factors of 64640 and 64650 and find the biggest common factor number .

Step-1: Prime Factorization of 64640

Prime factors of 64640 are 2, 5, 101. Prime factorization of 64640 in exponential form is:

64640 = 2⁷ × 5¹ × 101¹

Step-2: Prime Factorization of 64650

Prime factors of 64650 are 2, 3, 5, 431. Prime factorization of 64650 in exponential form is:

64650 = 2¹ × 3¹ × 5² × 431¹

Step-3: Factors of 64640

List of positive integer factors of 64640 that divides 64640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 101, 128, 160, 202, 320, 404, 505, 640, 808, 1010, 1616, 2020, 3232, 4040, 6464, 8080, 12928, 16160, 32320

Step-4: Factors of 64650

List of positive integer factors of 64650 that divides 64640 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 431, 862, 1293, 2155, 2586, 4310, 6465, 10775, 12930, 21550, 32325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64640 and 64650. The biggest common factor number is the GCF number.
So the greatest common factor 64640 and 64650 is 10.

Also check out the Least Common Multiple of 64640 and 64650