What is the Greatest Common Factor of 7814 and 7832?

Greatest common factor (GCF) of 7814 and 7832 is 2.

GCF(7814,7832) = 2

We will now calculate the prime factors of 7814 and 7832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7814 and 7832.

How to find the GCF of 7814 and 7832?

We will first find the prime factorization of 7814 and 7832. After we will calculate the factors of 7814 and 7832 and find the biggest common factor number .

Step-1: Prime Factorization of 7814

Prime factors of 7814 are 2, 3907. Prime factorization of 7814 in exponential form is:

7814 = 2¹ × 3907¹

Step-2: Prime Factorization of 7832

Prime factors of 7832 are 2, 11, 89. Prime factorization of 7832 in exponential form is:

7832 = 2³ × 11¹ × 89¹

Step-3: Factors of 7814

List of positive integer factors of 7814 that divides 7814 without a remainder.

1, 2, 3907

Step-4: Factors of 7832

List of positive integer factors of 7832 that divides 7814 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 89, 178, 356, 712, 979, 1958, 3916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7814 and 7832. The biggest common factor number is the GCF number.
So the greatest common factor 7814 and 7832 is 2.

Also check out the Least Common Multiple of 7814 and 7832