What is the Greatest Common Factor of 56640 and 56650?

Greatest common factor (GCF) of 56640 and 56650 is 10.

GCF(56640,56650) = 10

We will now calculate the prime factors of 56640 and 56650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56640 and 56650.

How to find the GCF of 56640 and 56650?

We will first find the prime factorization of 56640 and 56650. After we will calculate the factors of 56640 and 56650 and find the biggest common factor number .

Step-1: Prime Factorization of 56640

Prime factors of 56640 are 2, 3, 5, 59. Prime factorization of 56640 in exponential form is:

56640 = 2⁶ × 3¹ × 5¹ × 59¹

Step-2: Prime Factorization of 56650

Prime factors of 56650 are 2, 5, 11, 103. Prime factorization of 56650 in exponential form is:

56650 = 2¹ × 5² × 11¹ × 103¹

Step-3: Factors of 56640

List of positive integer factors of 56640 that divides 56640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 59, 60, 64, 80, 96, 118, 120, 160, 177, 192, 236, 240, 295, 320, 354, 472, 480, 590, 708, 885, 944, 960, 1180, 1416, 1770, 1888, 2360, 2832, 3540, 3776, 4720, 5664, 7080, 9440, 11328, 14160, 18880, 28320

Step-4: Factors of 56650

List of positive integer factors of 56650 that divides 56640 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 103, 110, 206, 275, 515, 550, 1030, 1133, 2266, 2575, 5150, 5665, 11330, 28325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56640 and 56650. The biggest common factor number is the GCF number.
So the greatest common factor 56640 and 56650 is 10.

Also check out the Least Common Multiple of 56640 and 56650