What is the Greatest Common Factor of 14832 and 14840?

Greatest common factor (GCF) of 14832 and 14840 is 8.

GCF(14832,14840) = 8

We will now calculate the prime factors of 14832 and 14840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14832 and 14840.

How to find the GCF of 14832 and 14840?

We will first find the prime factorization of 14832 and 14840. After we will calculate the factors of 14832 and 14840 and find the biggest common factor number .

Step-1: Prime Factorization of 14832

Prime factors of 14832 are 2, 3, 103. Prime factorization of 14832 in exponential form is:

14832 = 2⁴ × 3² × 103¹

Step-2: Prime Factorization of 14840

Prime factors of 14840 are 2, 5, 7, 53. Prime factorization of 14840 in exponential form is:

14840 = 2³ × 5¹ × 7¹ × 53¹

Step-3: Factors of 14832

List of positive integer factors of 14832 that divides 14832 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 103, 144, 206, 309, 412, 618, 824, 927, 1236, 1648, 1854, 2472, 3708, 4944, 7416

Step-4: Factors of 14840

List of positive integer factors of 14840 that divides 14832 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 53, 56, 70, 106, 140, 212, 265, 280, 371, 424, 530, 742, 1060, 1484, 1855, 2120, 2968, 3710, 7420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14832 and 14840. The biggest common factor number is the GCF number.
So the greatest common factor 14832 and 14840 is 8.

Also check out the Least Common Multiple of 14832 and 14840