What is the Greatest Common Factor of 4935 and 4950?

Greatest common factor (GCF) of 4935 and 4950 is 15.

GCF(4935,4950) = 15

We will now calculate the prime factors of 4935 and 4950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4935 and 4950.

How to find the GCF of 4935 and 4950?

We will first find the prime factorization of 4935 and 4950. After we will calculate the factors of 4935 and 4950 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 4950

Prime factors of 4950 are 2, 3, 5, 11. Prime factorization of 4950 in exponential form is:

4950 = 2¹ × 3² × 5² × 11¹

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 4950

List of positive integer factors of 4950 that divides 4935 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4935 and 4950. The biggest common factor number is the GCF number.
So the greatest common factor 4935 and 4950 is 15.

Also check out the Least Common Multiple of 4935 and 4950