What is the Greatest Common Factor of 4948 and 4958?

Greatest common factor (GCF) of 4948 and 4958 is 2.

GCF(4948,4958) = 2

We will now calculate the prime factors of 4948 and 4958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4948 and 4958.

How to find the GCF of 4948 and 4958?

We will first find the prime factorization of 4948 and 4958. After we will calculate the factors of 4948 and 4958 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 4958

Prime factors of 4958 are 2, 37, 67. Prime factorization of 4958 in exponential form is:

4958 = 2¹ × 37¹ × 67¹

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 4958

List of positive integer factors of 4958 that divides 4948 without a remainder.

1, 2, 37, 67, 74, 134, 2479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4948 and 4958. The biggest common factor number is the GCF number.
So the greatest common factor 4948 and 4958 is 2.

Also check out the Least Common Multiple of 4948 and 4958