What is the Greatest Common Factor of 4944 and 4950?

Greatest common factor (GCF) of 4944 and 4950 is 6.

GCF(4944,4950) = 6

We will now calculate the prime factors of 4944 and 4950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4944 and 4950.

How to find the GCF of 4944 and 4950?

We will first find the prime factorization of 4944 and 4950. After we will calculate the factors of 4944 and 4950 and find the biggest common factor number .

Step-1: Prime Factorization of 4944

Prime factors of 4944 are 2, 3, 103. Prime factorization of 4944 in exponential form is:

4944 = 2⁴ × 3¹ × 103¹

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 4944

List of positive integer factors of 4944 that divides 4944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472

Step-4: Factors of 4950

List of positive integer factors of 4950 that divides 4944 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 4944 and 4950. The biggest common factor number is the GCF number.
So the greatest common factor 4944 and 4950 is 6.

Also check out the Least Common Multiple of 4944 and 4950