What is the Greatest Common Factor of 7777 and 7788?

Greatest common factor (GCF) of 7777 and 7788 is 11.

GCF(7777,7788) = 11

We will now calculate the prime factors of 7777 and 7788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7777 and 7788.

How to find the GCF of 7777 and 7788?

We will first find the prime factorization of 7777 and 7788. After we will calculate the factors of 7777 and 7788 and find the biggest common factor number .

Step-1: Prime Factorization of 7777

Prime factors of 7777 are 7, 11, 101. Prime factorization of 7777 in exponential form is:

7777 = 7¹ × 11¹ × 101¹

Step-2: Prime Factorization of 7788

Prime factors of 7788 are 2, 3, 11, 59. Prime factorization of 7788 in exponential form is:

7788 = 2² × 3¹ × 11¹ × 59¹

Step-3: Factors of 7777

List of positive integer factors of 7777 that divides 7777 without a remainder.

1, 7, 11, 77, 101, 707, 1111

Step-4: Factors of 7788

List of positive integer factors of 7788 that divides 7777 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 59, 66, 118, 132, 177, 236, 354, 649, 708, 1298, 1947, 2596, 3894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7777 and 7788. The biggest common factor number is the GCF number.
So the greatest common factor 7777 and 7788 is 11.

Also check out the Least Common Multiple of 7777 and 7788