What is the Greatest Common Factor of 14945 and 14959?

Greatest common factor (GCF) of 14945 and 14959 is 7.

GCF(14945,14959) = 7

We will now calculate the prime factors of 14945 and 14959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14945 and 14959.

How to find the GCF of 14945 and 14959?

We will first find the prime factorization of 14945 and 14959. After we will calculate the factors of 14945 and 14959 and find the biggest common factor number .

Step-1: Prime Factorization of 14945

Prime factors of 14945 are 5, 7, 61. Prime factorization of 14945 in exponential form is:

14945 = 5¹ × 7² × 61¹

Step-2: Prime Factorization of 14959

Prime factors of 14959 are 7, 2137. Prime factorization of 14959 in exponential form is:

14959 = 7¹ × 2137¹

Step-3: Factors of 14945

List of positive integer factors of 14945 that divides 14945 without a remainder.

1, 5, 7, 35, 49, 61, 245, 305, 427, 2135, 2989

Step-4: Factors of 14959

List of positive integer factors of 14959 that divides 14945 without a remainder.

1, 7, 2137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14945 and 14959. The biggest common factor number is the GCF number.
So the greatest common factor 14945 and 14959 is 7.

Also check out the Least Common Multiple of 14945 and 14959