What is the Greatest Common Factor of 4914 and 4929?

Greatest common factor (GCF) of 4914 and 4929 is 3.

GCF(4914,4929) = 3

We will now calculate the prime factors of 4914 and 4929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4914 and 4929.

How to find the GCF of 4914 and 4929?

We will first find the prime factorization of 4914 and 4929. After we will calculate the factors of 4914 and 4929 and find the biggest common factor number .

Step-1: Prime Factorization of 4914

Prime factors of 4914 are 2, 3, 7, 13. Prime factorization of 4914 in exponential form is:

4914 = 2¹ × 3³ × 7¹ × 13¹

Step-2: 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-3: Factors of 4914

List of positive integer factors of 4914 that divides 4914 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457

Step-4: Factors of 4929

List of positive integer factors of 4929 that divides 4914 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4914 and 4929. The biggest common factor number is the GCF number.
So the greatest common factor 4914 and 4929 is 3.

Also check out the Least Common Multiple of 4914 and 4929