What is the Greatest Common Factor of 4948 and 4954?

Greatest common factor (GCF) of 4948 and 4954 is 2.

GCF(4948,4954) = 2

We will now calculate the prime factors of 4948 and 4954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4948 and 4954.

How to find the GCF of 4948 and 4954?

We will first find the prime factorization of 4948 and 4954. After we will calculate the factors of 4948 and 4954 and find the biggest common factor number .

Step-1: Prime Factorization of 4948

Prime factors of 4948 are 2, 1237. Prime factorization of 4948 in exponential form is:

4948 = 2² × 1237¹

Step-2: Prime Factorization of 4954

Prime factors of 4954 are 2, 2477. Prime factorization of 4954 in exponential form is:

4954 = 2¹ × 2477¹

Step-3: Factors of 4948

List of positive integer factors of 4948 that divides 4948 without a remainder.

1, 2, 4, 1237, 2474

Step-4: Factors of 4954

List of positive integer factors of 4954 that divides 4948 without a remainder.

1, 2, 2477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4948 and 4954. The biggest common factor number is the GCF number.
So the greatest common factor 4948 and 4954 is 2.

Also check out the Least Common Multiple of 4948 and 4954