What is the Greatest Common Factor of 72774 and 72792?

Greatest common factor (GCF) of 72774 and 72792 is 18.

GCF(72774,72792) = 18

We will now calculate the prime factors of 72774 and 72792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72774 and 72792.

How to find the GCF of 72774 and 72792?

We will first find the prime factorization of 72774 and 72792. After we will calculate the factors of 72774 and 72792 and find the biggest common factor number .

Step-1: Prime Factorization of 72774

Prime factors of 72774 are 2, 3, 13, 311. Prime factorization of 72774 in exponential form is:

72774 = 2¹ × 3² × 13¹ × 311¹

Step-2: Prime Factorization of 72792

Prime factors of 72792 are 2, 3, 337. Prime factorization of 72792 in exponential form is:

72792 = 2³ × 3³ × 337¹

Step-3: Factors of 72774

List of positive integer factors of 72774 that divides 72774 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 311, 622, 933, 1866, 2799, 4043, 5598, 8086, 12129, 24258, 36387

Step-4: Factors of 72792

List of positive integer factors of 72792 that divides 72774 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 337, 674, 1011, 1348, 2022, 2696, 3033, 4044, 6066, 8088, 9099, 12132, 18198, 24264, 36396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72774 and 72792. The biggest common factor number is the GCF number.
So the greatest common factor 72774 and 72792 is 18.

Also check out the Least Common Multiple of 72774 and 72792