What is the Greatest Common Factor of 72774 and 72787?

Greatest common factor (GCF) of 72774 and 72787 is 13.

GCF(72774,72787) = 13

We will now calculate the prime factors of 72774 and 72787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72774 and 72787.

How to find the GCF of 72774 and 72787?

We will first find the prime factorization of 72774 and 72787. After we will calculate the factors of 72774 and 72787 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 72787

Prime factors of 72787 are 11, 13, 509. Prime factorization of 72787 in exponential form is:

72787 = 11¹ × 13¹ × 509¹

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 72787

List of positive integer factors of 72787 that divides 72774 without a remainder.

1, 11, 13, 143, 509, 5599, 6617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72774 and 72787. The biggest common factor number is the GCF number.
So the greatest common factor 72774 and 72787 is 13.

Also check out the Least Common Multiple of 72774 and 72787