What is the Greatest Common Factor of 14640 and 14650?

Greatest common factor (GCF) of 14640 and 14650 is 10.

GCF(14640,14650) = 10

We will now calculate the prime factors of 14640 and 14650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14640 and 14650.

How to find the GCF of 14640 and 14650?

We will first find the prime factorization of 14640 and 14650. After we will calculate the factors of 14640 and 14650 and find the biggest common factor number .

Step-1: Prime Factorization of 14640

Prime factors of 14640 are 2, 3, 5, 61. Prime factorization of 14640 in exponential form is:

14640 = 2⁴ × 3¹ × 5¹ × 61¹

Step-2: Prime Factorization of 14650

Prime factors of 14650 are 2, 5, 293. Prime factorization of 14650 in exponential form is:

14650 = 2¹ × 5² × 293¹

Step-3: Factors of 14640

List of positive integer factors of 14640 that divides 14640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 61, 80, 120, 122, 183, 240, 244, 305, 366, 488, 610, 732, 915, 976, 1220, 1464, 1830, 2440, 2928, 3660, 4880, 7320

Step-4: Factors of 14650

List of positive integer factors of 14650 that divides 14640 without a remainder.

1, 2, 5, 10, 25, 50, 293, 586, 1465, 2930, 7325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14640 and 14650. The biggest common factor number is the GCF number.
So the greatest common factor 14640 and 14650 is 10.

Also check out the Least Common Multiple of 14640 and 14650