What is the Greatest Common Factor of 14940 and 14949?

Greatest common factor (GCF) of 14940 and 14949 is 9.

GCF(14940,14949) = 9

We will now calculate the prime factors of 14940 and 14949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14940 and 14949.

How to find the GCF of 14940 and 14949?

We will first find the prime factorization of 14940 and 14949. After we will calculate the factors of 14940 and 14949 and find the biggest common factor number .

Step-1: Prime Factorization of 14940

Prime factors of 14940 are 2, 3, 5, 83. Prime factorization of 14940 in exponential form is:

14940 = 2² × 3² × 5¹ × 83¹

Step-2: Prime Factorization of 14949

Prime factors of 14949 are 3, 11, 151. Prime factorization of 14949 in exponential form is:

14949 = 3² × 11¹ × 151¹

Step-3: Factors of 14940

List of positive integer factors of 14940 that divides 14940 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 83, 90, 166, 180, 249, 332, 415, 498, 747, 830, 996, 1245, 1494, 1660, 2490, 2988, 3735, 4980, 7470

Step-4: Factors of 14949

List of positive integer factors of 14949 that divides 14940 without a remainder.

1, 3, 9, 11, 33, 99, 151, 453, 1359, 1661, 4983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14940 and 14949. The biggest common factor number is the GCF number.
So the greatest common factor 14940 and 14949 is 9.

Also check out the Least Common Multiple of 14940 and 14949