What is the Greatest Common Factor of 8774 and 8784?

Greatest common factor (GCF) of 8774 and 8784 is 2.

GCF(8774,8784) = 2

We will now calculate the prime factors of 8774 and 8784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8774 and 8784.

How to find the GCF of 8774 and 8784?

We will first find the prime factorization of 8774 and 8784. After we will calculate the factors of 8774 and 8784 and find the biggest common factor number .

Step-1: Prime Factorization of 8774

Prime factors of 8774 are 2, 41, 107. Prime factorization of 8774 in exponential form is:

8774 = 2¹ × 41¹ × 107¹

Step-2: Prime Factorization of 8784

Prime factors of 8784 are 2, 3, 61. Prime factorization of 8784 in exponential form is:

8784 = 2⁴ × 3² × 61¹

Step-3: Factors of 8774

List of positive integer factors of 8774 that divides 8774 without a remainder.

1, 2, 41, 82, 107, 214, 4387

Step-4: Factors of 8784

List of positive integer factors of 8784 that divides 8774 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 61, 72, 122, 144, 183, 244, 366, 488, 549, 732, 976, 1098, 1464, 2196, 2928, 4392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8774 and 8784. The biggest common factor number is the GCF number.
So the greatest common factor 8774 and 8784 is 2.

Also check out the Least Common Multiple of 8774 and 8784