What is the Greatest Common Factor of 4719 and 4732?

Greatest common factor (GCF) of 4719 and 4732 is 13.

GCF(4719,4732) = 13

We will now calculate the prime factors of 4719 and 4732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4719 and 4732.

How to find the GCF of 4719 and 4732?

We will first find the prime factorization of 4719 and 4732. After we will calculate the factors of 4719 and 4732 and find the biggest common factor number .

Step-1: Prime Factorization of 4719

Prime factors of 4719 are 3, 11, 13. Prime factorization of 4719 in exponential form is:

4719 = 3¹ × 11² × 13¹

Step-2: Prime Factorization of 4732

Prime factors of 4732 are 2, 7, 13. Prime factorization of 4732 in exponential form is:

4732 = 2² × 7¹ × 13²

Step-3: Factors of 4719

List of positive integer factors of 4719 that divides 4719 without a remainder.

1, 3, 11, 13, 33, 39, 121, 143, 363, 429, 1573

Step-4: Factors of 4732

List of positive integer factors of 4732 that divides 4719 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4719 and 4732. The biggest common factor number is the GCF number.
So the greatest common factor 4719 and 4732 is 13.

Also check out the Least Common Multiple of 4719 and 4732