What is the Greatest Common Factor of 14946 and 14960?

Greatest common factor (GCF) of 14946 and 14960 is 2.

GCF(14946,14960) = 2

We will now calculate the prime factors of 14946 and 14960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14946 and 14960.

How to find the GCF of 14946 and 14960?

We will first find the prime factorization of 14946 and 14960. After we will calculate the factors of 14946 and 14960 and find the biggest common factor number .

Step-1: Prime Factorization of 14946

Prime factors of 14946 are 2, 3, 47, 53. Prime factorization of 14946 in exponential form is:

14946 = 2¹ × 3¹ × 47¹ × 53¹

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 14946

List of positive integer factors of 14946 that divides 14946 without a remainder.

1, 2, 3, 6, 47, 53, 94, 106, 141, 159, 282, 318, 2491, 4982, 7473

Step-4: Factors of 14960

List of positive integer factors of 14960 that divides 14946 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 14946 and 14960. The biggest common factor number is the GCF number.
So the greatest common factor 14946 and 14960 is 2.

Also check out the Least Common Multiple of 14946 and 14960