What is the Greatest Common Factor of 7664 and 7682?

Greatest common factor (GCF) of 7664 and 7682 is 2.

GCF(7664,7682) = 2

We will now calculate the prime factors of 7664 and 7682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7664 and 7682.

How to find the GCF of 7664 and 7682?

We will first find the prime factorization of 7664 and 7682. After we will calculate the factors of 7664 and 7682 and find the biggest common factor number .

Step-1: Prime Factorization of 7664

Prime factors of 7664 are 2, 479. Prime factorization of 7664 in exponential form is:

7664 = 2⁴ × 479¹

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 7664

List of positive integer factors of 7664 that divides 7664 without a remainder.

1, 2, 4, 8, 16, 479, 958, 1916, 3832

Step-4: Factors of 7682

List of positive integer factors of 7682 that divides 7664 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7664 and 7682. The biggest common factor number is the GCF number.
So the greatest common factor 7664 and 7682 is 2.

Also check out the Least Common Multiple of 7664 and 7682