What is the Greatest Common Factor of 4935 and 4941?

Greatest common factor (GCF) of 4935 and 4941 is 3.

GCF(4935,4941) = 3

We will now calculate the prime factors of 4935 and 4941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4935 and 4941.

How to find the GCF of 4935 and 4941?

We will first find the prime factorization of 4935 and 4941. After we will calculate the factors of 4935 and 4941 and find the biggest common factor number .

Step-1: Prime Factorization of 4935

Prime factors of 4935 are 3, 5, 7, 47. Prime factorization of 4935 in exponential form is:

4935 = 3¹ × 5¹ × 7¹ × 47¹

Step-2: Prime Factorization of 4941

Prime factors of 4941 are 3, 61. Prime factorization of 4941 in exponential form is:

4941 = 3⁴ × 61¹

Step-3: Factors of 4935

List of positive integer factors of 4935 that divides 4935 without a remainder.

1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645

Step-4: Factors of 4941

List of positive integer factors of 4941 that divides 4935 without a remainder.

1, 3, 9, 27, 61, 81, 183, 549, 1647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4935 and 4941. The biggest common factor number is the GCF number.
So the greatest common factor 4935 and 4941 is 3.

Also check out the Least Common Multiple of 4935 and 4941