What is the Greatest Common Factor of 7676 and 7682?

Greatest common factor (GCF) of 7676 and 7682 is 2.

GCF(7676,7682) = 2

We will now calculate the prime factors of 7676 and 7682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7676 and 7682.

How to find the GCF of 7676 and 7682?

We will first find the prime factorization of 7676 and 7682. After we will calculate the factors of 7676 and 7682 and find the biggest common factor number .

Step-1: Prime Factorization of 7676

Prime factors of 7676 are 2, 19, 101. Prime factorization of 7676 in exponential form is:

7676 = 2² × 19¹ × 101¹

Step-2: Prime Factorization of 7682

Prime factors of 7682 are 2, 23, 167. Prime factorization of 7682 in exponential form is:

7682 = 2¹ × 23¹ × 167¹

Step-3: Factors of 7676

List of positive integer factors of 7676 that divides 7676 without a remainder.

1, 2, 4, 19, 38, 76, 101, 202, 404, 1919, 3838

Step-4: Factors of 7682

List of positive integer factors of 7682 that divides 7676 without a remainder.

1, 2, 23, 46, 167, 334, 3841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7676 and 7682. The biggest common factor number is the GCF number.
So the greatest common factor 7676 and 7682 is 2.

Also check out the Least Common Multiple of 7676 and 7682