What is the Greatest Common Factor of 7772 and 7783?

Greatest common factor (GCF) of 7772 and 7783 is 1.

GCF(7772,7783) = 1

We will now calculate the prime factors of 7772 and 7783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7772 and 7783.

How to find the GCF of 7772 and 7783?

We will first find the prime factorization of 7772 and 7783. After we will calculate the factors of 7772 and 7783 and find the biggest common factor number .

Step-1: Prime Factorization of 7772

Prime factors of 7772 are 2, 29, 67. Prime factorization of 7772 in exponential form is:

7772 = 2² × 29¹ × 67¹

Step-2: Prime Factorization of 7783

Prime factors of 7783 are 43, 181. Prime factorization of 7783 in exponential form is:

7783 = 43¹ × 181¹

Step-3: Factors of 7772

List of positive integer factors of 7772 that divides 7772 without a remainder.

1, 2, 4, 29, 58, 67, 116, 134, 268, 1943, 3886

Step-4: Factors of 7783

List of positive integer factors of 7783 that divides 7772 without a remainder.

1, 43, 181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7772 and 7783. The biggest common factor number is the GCF number.
So the greatest common factor 7772 and 7783 is 1.

Also check out the Least Common Multiple of 7772 and 7783