What is the Greatest Common Factor of 7784 and 7798?

Greatest common factor (GCF) of 7784 and 7798 is 14.

GCF(7784,7798) = 14

We will now calculate the prime factors of 7784 and 7798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7784 and 7798.

How to find the GCF of 7784 and 7798?

We will first find the prime factorization of 7784 and 7798. After we will calculate the factors of 7784 and 7798 and find the biggest common factor number .

Step-1: Prime Factorization of 7784

Prime factors of 7784 are 2, 7, 139. Prime factorization of 7784 in exponential form is:

7784 = 2³ × 7¹ × 139¹

Step-2: Prime Factorization of 7798

Prime factors of 7798 are 2, 7, 557. Prime factorization of 7798 in exponential form is:

7798 = 2¹ × 7¹ × 557¹

Step-3: Factors of 7784

List of positive integer factors of 7784 that divides 7784 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 139, 278, 556, 973, 1112, 1946, 3892

Step-4: Factors of 7798

List of positive integer factors of 7798 that divides 7784 without a remainder.

1, 2, 7, 14, 557, 1114, 3899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7784 and 7798. The biggest common factor number is the GCF number.
So the greatest common factor 7784 and 7798 is 14.

Also check out the Least Common Multiple of 7784 and 7798