What is the Greatest Common Factor of 14880 and 14886?

Greatest common factor (GCF) of 14880 and 14886 is 6.

GCF(14880,14886) = 6

We will now calculate the prime factors of 14880 and 14886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14880 and 14886.

How to find the GCF of 14880 and 14886?

We will first find the prime factorization of 14880 and 14886. After we will calculate the factors of 14880 and 14886 and find the biggest common factor number .

Step-1: Prime Factorization of 14880

Prime factors of 14880 are 2, 3, 5, 31. Prime factorization of 14880 in exponential form is:

14880 = 2⁵ × 3¹ × 5¹ × 31¹

Step-2: Prime Factorization of 14886

Prime factors of 14886 are 2, 3, 827. Prime factorization of 14886 in exponential form is:

14886 = 2¹ × 3² × 827¹

Step-3: Factors of 14880

List of positive integer factors of 14880 that divides 14880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 32, 40, 48, 60, 62, 80, 93, 96, 120, 124, 155, 160, 186, 240, 248, 310, 372, 465, 480, 496, 620, 744, 930, 992, 1240, 1488, 1860, 2480, 2976, 3720, 4960, 7440

Step-4: Factors of 14886

List of positive integer factors of 14886 that divides 14880 without a remainder.

1, 2, 3, 6, 9, 18, 827, 1654, 2481, 4962, 7443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14880 and 14886. The biggest common factor number is the GCF number.
So the greatest common factor 14880 and 14886 is 6.

Also check out the Least Common Multiple of 14880 and 14886