What is the Greatest Common Factor of 14600 and 14616?

Greatest common factor (GCF) of 14600 and 14616 is 8.

GCF(14600,14616) = 8

We will now calculate the prime factors of 14600 and 14616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14600 and 14616.

How to find the GCF of 14600 and 14616?

We will first find the prime factorization of 14600 and 14616. After we will calculate the factors of 14600 and 14616 and find the biggest common factor number .

Step-1: Prime Factorization of 14600

Prime factors of 14600 are 2, 5, 73. Prime factorization of 14600 in exponential form is:

14600 = 2³ × 5² × 73¹

Step-2: Prime Factorization of 14616

Prime factors of 14616 are 2, 3, 7, 29. Prime factorization of 14616 in exponential form is:

14616 = 2³ × 3² × 7¹ × 29¹

Step-3: Factors of 14600

List of positive integer factors of 14600 that divides 14600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 73, 100, 146, 200, 292, 365, 584, 730, 1460, 1825, 2920, 3650, 7300

Step-4: Factors of 14616

List of positive integer factors of 14616 that divides 14600 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 29, 36, 42, 56, 58, 63, 72, 84, 87, 116, 126, 168, 174, 203, 232, 252, 261, 348, 406, 504, 522, 609, 696, 812, 1044, 1218, 1624, 1827, 2088, 2436, 3654, 4872, 7308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14600 and 14616. The biggest common factor number is the GCF number.
So the greatest common factor 14600 and 14616 is 8.

Also check out the Least Common Multiple of 14600 and 14616