What is the Greatest Common Factor of 69762 and 69777?

Greatest common factor (GCF) of 69762 and 69777 is 3.

GCF(69762,69777) = 3

We will now calculate the prime factors of 69762 and 69777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69762 and 69777.

How to find the GCF of 69762 and 69777?

We will first find the prime factorization of 69762 and 69777. After we will calculate the factors of 69762 and 69777 and find the biggest common factor number .

Step-1: Prime Factorization of 69762

Prime factors of 69762 are 2, 3, 7, 11, 151. Prime factorization of 69762 in exponential form is:

69762 = 2¹ × 3¹ × 7¹ × 11¹ × 151¹

Step-2: Prime Factorization of 69777

Prime factors of 69777 are 3, 7753. Prime factorization of 69777 in exponential form is:

69777 = 3² × 7753¹

Step-3: Factors of 69762

List of positive integer factors of 69762 that divides 69762 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 151, 154, 231, 302, 453, 462, 906, 1057, 1661, 2114, 3171, 3322, 4983, 6342, 9966, 11627, 23254, 34881

Step-4: Factors of 69777

List of positive integer factors of 69777 that divides 69762 without a remainder.

1, 3, 9, 7753, 23259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69762 and 69777. The biggest common factor number is the GCF number.
So the greatest common factor 69762 and 69777 is 3.

Also check out the Least Common Multiple of 69762 and 69777