What is the Greatest Common Factor of 14854 and 14861?

Greatest common factor (GCF) of 14854 and 14861 is 7.

GCF(14854,14861) = 7

We will now calculate the prime factors of 14854 and 14861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14854 and 14861.

How to find the GCF of 14854 and 14861?

We will first find the prime factorization of 14854 and 14861. After we will calculate the factors of 14854 and 14861 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 14861

Prime factors of 14861 are 7, 11, 193. Prime factorization of 14861 in exponential form is:

14861 = 7¹ × 11¹ × 193¹

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 14861

List of positive integer factors of 14861 that divides 14854 without a remainder.

1, 7, 11, 77, 193, 1351, 2123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14854 and 14861. The biggest common factor number is the GCF number.
So the greatest common factor 14854 and 14861 is 7.

Also check out the Least Common Multiple of 14854 and 14861