What is the Greatest Common Factor of 72774 and 72778?

Greatest common factor (GCF) of 72774 and 72778 is 2.

GCF(72774,72778) = 2

We will now calculate the prime factors of 72774 and 72778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72774 and 72778.

How to find the GCF of 72774 and 72778?

We will first find the prime factorization of 72774 and 72778. After we will calculate the factors of 72774 and 72778 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 72778

Prime factors of 72778 are 2, 36389. Prime factorization of 72778 in exponential form is:

72778 = 2¹ × 36389¹

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 72778

List of positive integer factors of 72778 that divides 72774 without a remainder.

1, 2, 36389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72774 and 72778. The biggest common factor number is the GCF number.
So the greatest common factor 72774 and 72778 is 2.

Also check out the Least Common Multiple of 72774 and 72778