What is the Greatest Common Factor of 4929 and 4947?

Greatest common factor (GCF) of 4929 and 4947 is 3.

GCF(4929,4947) = 3

We will now calculate the prime factors of 4929 and 4947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4929 and 4947.

How to find the GCF of 4929 and 4947?

We will first find the prime factorization of 4929 and 4947. After we will calculate the factors of 4929 and 4947 and find the biggest common factor number .

Step-1: Prime Factorization of 4929

Prime factors of 4929 are 3, 31, 53. Prime factorization of 4929 in exponential form is:

4929 = 3¹ × 31¹ × 53¹

Step-2: Prime Factorization of 4947

Prime factors of 4947 are 3, 17, 97. Prime factorization of 4947 in exponential form is:

4947 = 3¹ × 17¹ × 97¹

Step-3: Factors of 4929

List of positive integer factors of 4929 that divides 4929 without a remainder.

1, 3, 31, 53, 93, 159, 1643

Step-4: Factors of 4947

List of positive integer factors of 4947 that divides 4929 without a remainder.

1, 3, 17, 51, 97, 291, 1649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4929 and 4947. The biggest common factor number is the GCF number.
So the greatest common factor 4929 and 4947 is 3.

Also check out the Least Common Multiple of 4929 and 4947