What is the Greatest Common Factor of 90768 and 90774?

Greatest common factor (GCF) of 90768 and 90774 is 6.

GCF(90768,90774) = 6

We will now calculate the prime factors of 90768 and 90774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90768 and 90774.

How to find the GCF of 90768 and 90774?

We will first find the prime factorization of 90768 and 90774. After we will calculate the factors of 90768 and 90774 and find the biggest common factor number .

Step-1: Prime Factorization of 90768

Prime factors of 90768 are 2, 3, 31, 61. Prime factorization of 90768 in exponential form is:

90768 = 2⁴ × 3¹ × 31¹ × 61¹

Step-2: 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-3: Factors of 90768

List of positive integer factors of 90768 that divides 90768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 61, 62, 93, 122, 124, 183, 186, 244, 248, 366, 372, 488, 496, 732, 744, 976, 1464, 1488, 1891, 2928, 3782, 5673, 7564, 11346, 15128, 22692, 30256, 45384

Step-4: Factors of 90774

List of positive integer factors of 90774 that divides 90768 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90768 and 90774. The biggest common factor number is the GCF number.
So the greatest common factor 90768 and 90774 is 6.

Also check out the Least Common Multiple of 90768 and 90774