What is the Greatest Common Factor of 14948 and 14954?

Greatest common factor (GCF) of 14948 and 14954 is 2.

GCF(14948,14954) = 2

We will now calculate the prime factors of 14948 and 14954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14948 and 14954.

How to find the GCF of 14948 and 14954?

We will first find the prime factorization of 14948 and 14954. After we will calculate the factors of 14948 and 14954 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 14954

Prime factors of 14954 are 2, 7477. Prime factorization of 14954 in exponential form is:

14954 = 2¹ × 7477¹

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 14954

List of positive integer factors of 14954 that divides 14948 without a remainder.

1, 2, 7477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14948 and 14954. The biggest common factor number is the GCF number.
So the greatest common factor 14948 and 14954 is 2.

Also check out the Least Common Multiple of 14948 and 14954