What is the Greatest Common Factor of 4914 and 4931?

Greatest common factor (GCF) of 4914 and 4931 is 1.

GCF(4914,4931) = 1

We will now calculate the prime factors of 4914 and 4931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4914 and 4931.

How to find the GCF of 4914 and 4931?

We will first find the prime factorization of 4914 and 4931. After we will calculate the factors of 4914 and 4931 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 4931

Prime factors of 4931 are 4931. Prime factorization of 4931 in exponential form is:

4931 = 4931¹

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 4931

List of positive integer factors of 4931 that divides 4914 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4914 and 4931. The biggest common factor number is the GCF number.
So the greatest common factor 4914 and 4931 is 1.

Also check out the Least Common Multiple of 4914 and 4931