What is the Greatest Common Factor of 4949 and 4958?

Greatest common factor (GCF) of 4949 and 4958 is 1.

GCF(4949,4958) = 1

We will now calculate the prime factors of 4949 and 4958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4949 and 4958.

How to find the GCF of 4949 and 4958?

We will first find the prime factorization of 4949 and 4958. After we will calculate the factors of 4949 and 4958 and find the biggest common factor number .

Step-1: Prime Factorization of 4949

Prime factors of 4949 are 7, 101. Prime factorization of 4949 in exponential form is:

4949 = 7² × 101¹

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 4949

List of positive integer factors of 4949 that divides 4949 without a remainder.

1, 7, 49, 101, 707

Step-4: Factors of 4958

List of positive integer factors of 4958 that divides 4949 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4949 and 4958. The biggest common factor number is the GCF number.
So the greatest common factor 4949 and 4958 is 1.

Also check out the Least Common Multiple of 4949 and 4958