What is the Greatest Common Factor of 4942 and 4949?

Greatest common factor (GCF) of 4942 and 4949 is 7.

GCF(4942,4949) = 7

We will now calculate the prime factors of 4942 and 4949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4942 and 4949.

How to find the GCF of 4942 and 4949?

We will first find the prime factorization of 4942 and 4949. After we will calculate the factors of 4942 and 4949 and find the biggest common factor number .

Step-1: Prime Factorization of 4942

Prime factors of 4942 are 2, 7, 353. Prime factorization of 4942 in exponential form is:

4942 = 2¹ × 7¹ × 353¹

Step-2: Prime Factorization of 4949

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

4949 = 7² × 101¹

Step-3: Factors of 4942

List of positive integer factors of 4942 that divides 4942 without a remainder.

1, 2, 7, 14, 353, 706, 2471

Step-4: Factors of 4949

List of positive integer factors of 4949 that divides 4942 without a remainder.

1, 7, 49, 101, 707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4942 and 4949. The biggest common factor number is the GCF number.
So the greatest common factor 4942 and 4949 is 7.

Also check out the Least Common Multiple of 4942 and 4949