What is the Greatest Common Factor of 14840 and 14854?

Greatest common factor (GCF) of 14840 and 14854 is 14.

GCF(14840,14854) = 14

We will now calculate the prime factors of 14840 and 14854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14840 and 14854.

How to find the GCF of 14840 and 14854?

We will first find the prime factorization of 14840 and 14854. After we will calculate the factors of 14840 and 14854 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14854

Prime factors of 14854 are 2, 7, 1061. Prime factorization of 14854 in exponential form is:

14854 = 2¹ × 7¹ × 1061¹

Step-3: Factors of 14840

List of positive integer factors of 14840 that divides 14840 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

Step-4: Factors of 14854

List of positive integer factors of 14854 that divides 14840 without a remainder.

1, 2, 7, 14, 1061, 2122, 7427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14840 and 14854. The biggest common factor number is the GCF number.
So the greatest common factor 14840 and 14854 is 14.

Also check out the Least Common Multiple of 14840 and 14854