What is the Greatest Common Factor of 14940 and 14960?

Greatest common factor (GCF) of 14940 and 14960 is 20.

GCF(14940,14960) = 20

We will now calculate the prime factors of 14940 and 14960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14940 and 14960.

How to find the GCF of 14940 and 14960?

We will first find the prime factorization of 14940 and 14960. After we will calculate the factors of 14940 and 14960 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 14960

Prime factors of 14960 are 2, 5, 11, 17. Prime factorization of 14960 in exponential form is:

14960 = 2⁴ × 5¹ × 11¹ × 17¹

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 14960

List of positive integer factors of 14960 that divides 14940 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 17, 20, 22, 34, 40, 44, 55, 68, 80, 85, 88, 110, 136, 170, 176, 187, 220, 272, 340, 374, 440, 680, 748, 880, 935, 1360, 1496, 1870, 2992, 3740, 7480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14940 and 14960. The biggest common factor number is the GCF number.
So the greatest common factor 14940 and 14960 is 20.

Also check out the Least Common Multiple of 14940 and 14960