What is the Greatest Common Factor of 14960 and 14977?

Greatest common factor (GCF) of 14960 and 14977 is 17.

GCF(14960,14977) = 17

We will now calculate the prime factors of 14960 and 14977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14960 and 14977.

How to find the GCF of 14960 and 14977?

We will first find the prime factorization of 14960 and 14977. After we will calculate the factors of 14960 and 14977 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14977

Prime factors of 14977 are 17, 881. Prime factorization of 14977 in exponential form is:

14977 = 17¹ × 881¹

Step-3: Factors of 14960

List of positive integer factors of 14960 that divides 14960 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

Step-4: Factors of 14977

List of positive integer factors of 14977 that divides 14960 without a remainder.

1, 17, 881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14960 and 14977. The biggest common factor number is the GCF number.
So the greatest common factor 14960 and 14977 is 17.

Also check out the Least Common Multiple of 14960 and 14977