What is the Greatest Common Factor of 4944 and 4962?

Greatest common factor (GCF) of 4944 and 4962 is 6.

GCF(4944,4962) = 6

We will now calculate the prime factors of 4944 and 4962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4944 and 4962.

How to find the GCF of 4944 and 4962?

We will first find the prime factorization of 4944 and 4962. After we will calculate the factors of 4944 and 4962 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 4962

Prime factors of 4962 are 2, 3, 827. Prime factorization of 4962 in exponential form is:

4962 = 2¹ × 3¹ × 827¹

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 4962

List of positive integer factors of 4962 that divides 4944 without a remainder.

1, 2, 3, 6, 827, 1654, 2481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4944 and 4962. The biggest common factor number is the GCF number.
So the greatest common factor 4944 and 4962 is 6.

Also check out the Least Common Multiple of 4944 and 4962