What is the Greatest Common Factor of 14948 and 14966?

Greatest common factor (GCF) of 14948 and 14966 is 2.

GCF(14948,14966) = 2

We will now calculate the prime factors of 14948 and 14966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14948 and 14966.

How to find the GCF of 14948 and 14966?

We will first find the prime factorization of 14948 and 14966. After we will calculate the factors of 14948 and 14966 and find the biggest common factor number .

Step-1: Prime Factorization of 14948

Prime factors of 14948 are 2, 37, 101. Prime factorization of 14948 in exponential form is:

14948 = 2² × 37¹ × 101¹

Step-2: Prime Factorization of 14966

Prime factors of 14966 are 2, 7, 1069. Prime factorization of 14966 in exponential form is:

14966 = 2¹ × 7¹ × 1069¹

Step-3: Factors of 14948

List of positive integer factors of 14948 that divides 14948 without a remainder.

1, 2, 4, 37, 74, 101, 148, 202, 404, 3737, 7474

Step-4: Factors of 14966

List of positive integer factors of 14966 that divides 14948 without a remainder.

1, 2, 7, 14, 1069, 2138, 7483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14948 and 14966. The biggest common factor number is the GCF number.
So the greatest common factor 14948 and 14966 is 2.

Also check out the Least Common Multiple of 14948 and 14966