What is the Greatest Common Factor of 14854 and 14868?

Greatest common factor (GCF) of 14854 and 14868 is 14.

GCF(14854,14868) = 14

We will now calculate the prime factors of 14854 and 14868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14854 and 14868.

How to find the GCF of 14854 and 14868?

We will first find the prime factorization of 14854 and 14868. After we will calculate the factors of 14854 and 14868 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14868

Prime factors of 14868 are 2, 3, 7, 59. Prime factorization of 14868 in exponential form is:

14868 = 2² × 3² × 7¹ × 59¹

Step-3: Factors of 14854

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

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

Step-4: Factors of 14868

List of positive integer factors of 14868 that divides 14854 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 59, 63, 84, 118, 126, 177, 236, 252, 354, 413, 531, 708, 826, 1062, 1239, 1652, 2124, 2478, 3717, 4956, 7434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14854 and 14868. The biggest common factor number is the GCF number.
So the greatest common factor 14854 and 14868 is 14.

Also check out the Least Common Multiple of 14854 and 14868