What is the Greatest Common Factor of 90774 and 90786?

Greatest common factor (GCF) of 90774 and 90786 is 6.

GCF(90774,90786) = 6

We will now calculate the prime factors of 90774 and 90786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90774 and 90786.

How to find the GCF of 90774 and 90786?

We will first find the prime factorization of 90774 and 90786. After we will calculate the factors of 90774 and 90786 and find the biggest common factor number .

Step-1: Prime Factorization of 90774

Prime factors of 90774 are 2, 3, 41. Prime factorization of 90774 in exponential form is:

90774 = 2¹ × 3³ × 41²

Step-2: Prime Factorization of 90786

Prime factors of 90786 are 2, 3, 15131. Prime factorization of 90786 in exponential form is:

90786 = 2¹ × 3¹ × 15131¹

Step-3: Factors of 90774

List of positive integer factors of 90774 that divides 90774 without a remainder.

1, 2, 3, 6, 9, 18, 27, 41, 54, 82, 123, 246, 369, 738, 1107, 1681, 2214, 3362, 5043, 10086, 15129, 30258, 45387

Step-4: Factors of 90786

List of positive integer factors of 90786 that divides 90774 without a remainder.

1, 2, 3, 6, 15131, 30262, 45393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90774 and 90786. The biggest common factor number is the GCF number.
So the greatest common factor 90774 and 90786 is 6.

Also check out the Least Common Multiple of 90774 and 90786