What is the Greatest Common Factor of 4935 and 4955?

Greatest common factor (GCF) of 4935 and 4955 is 5.

GCF(4935,4955) = 5

We will now calculate the prime factors of 4935 and 4955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4935 and 4955.

How to find the GCF of 4935 and 4955?

We will first find the prime factorization of 4935 and 4955. After we will calculate the factors of 4935 and 4955 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 4955

Prime factors of 4955 are 5, 991. Prime factorization of 4955 in exponential form is:

4955 = 5¹ × 991¹

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 4955

List of positive integer factors of 4955 that divides 4935 without a remainder.

1, 5, 991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4935 and 4955. The biggest common factor number is the GCF number.
So the greatest common factor 4935 and 4955 is 5.

Also check out the Least Common Multiple of 4935 and 4955