What is the Greatest Common Factor of 14596 and 14616?

Greatest common factor (GCF) of 14596 and 14616 is 4.

GCF(14596,14616) = 4

We will now calculate the prime factors of 14596 and 14616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14596 and 14616.

How to find the GCF of 14596 and 14616?

We will first find the prime factorization of 14596 and 14616. After we will calculate the factors of 14596 and 14616 and find the biggest common factor number .

Step-1: Prime Factorization of 14596

Prime factors of 14596 are 2, 41, 89. Prime factorization of 14596 in exponential form is:

14596 = 2² × 41¹ × 89¹

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 14596

List of positive integer factors of 14596 that divides 14596 without a remainder.

1, 2, 4, 41, 82, 89, 164, 178, 356, 3649, 7298

Step-4: Factors of 14616

List of positive integer factors of 14616 that divides 14596 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 14596 and 14616. The biggest common factor number is the GCF number.
So the greatest common factor 14596 and 14616 is 4.

Also check out the Least Common Multiple of 14596 and 14616