GCF and LCM Calculator Logo

What is the Greatest Common Factor of 7747 and 7766?

Greatest common factor (GCF) of 7747 and 7766 is 1.

GCF(7747,7766) = 1

We will now calculate the prime factors of 7747 and 7766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7747 and 7766.

GCF Calculator and
and

How to find the GCF of 7747 and 7766?

We will first find the prime factorization of 7747 and 7766. After we will calculate the factors of 7747 and 7766 and find the biggest common factor number .

Step-1: Prime Factorization of 7747

Prime factors of 7747 are 61, 127. Prime factorization of 7747 in exponential form is:

7747 = 611 × 1271

Step-2: Prime Factorization of 7766

Prime factors of 7766 are 2, 11, 353. Prime factorization of 7766 in exponential form is:

7766 = 21 × 111 × 3531

Step-3: Factors of 7747

List of positive integer factors of 7747 that divides 7747 without a remainder.

1, 61, 127

Step-4: Factors of 7766

List of positive integer factors of 7766 that divides 7747 without a remainder.

1, 2, 11, 22, 353, 706, 3883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7747 and 7766. The biggest common factor number is the GCF number.
So the greatest common factor 7747 and 7766 is 1.

Also check out the Least Common Multiple of 7747 and 7766