What is the Greatest Common Factor of 7700 and 7707?

Greatest common factor (GCF) of 7700 and 7707 is 7.

GCF(7700,7707) = 7

We will now calculate the prime factors of 7700 and 7707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7700 and 7707.

How to find the GCF of 7700 and 7707?

We will first find the prime factorization of 7700 and 7707. After we will calculate the factors of 7700 and 7707 and find the biggest common factor number .

Step-1: Prime Factorization of 7700

Prime factors of 7700 are 2, 5, 7, 11. Prime factorization of 7700 in exponential form is:

7700 = 2² × 5² × 7¹ × 11¹

Step-2: Prime Factorization of 7707

Prime factors of 7707 are 3, 7, 367. Prime factorization of 7707 in exponential form is:

7707 = 3¹ × 7¹ × 367¹

Step-3: Factors of 7700

List of positive integer factors of 7700 that divides 7700 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 50, 55, 70, 77, 100, 110, 140, 154, 175, 220, 275, 308, 350, 385, 550, 700, 770, 1100, 1540, 1925, 3850

Step-4: Factors of 7707

List of positive integer factors of 7707 that divides 7700 without a remainder.

1, 3, 7, 21, 367, 1101, 2569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7700 and 7707. The biggest common factor number is the GCF number.
So the greatest common factor 7700 and 7707 is 7.

Also check out the Least Common Multiple of 7700 and 7707