What is the Greatest Common Factor of 69762 and 69773?

Greatest common factor (GCF) of 69762 and 69773 is 11.

GCF(69762,69773) = 11

We will now calculate the prime factors of 69762 and 69773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69762 and 69773.

How to find the GCF of 69762 and 69773?

We will first find the prime factorization of 69762 and 69773. After we will calculate the factors of 69762 and 69773 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 69773

Prime factors of 69773 are 11, 6343. Prime factorization of 69773 in exponential form is:

69773 = 11¹ × 6343¹

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 69773

List of positive integer factors of 69773 that divides 69762 without a remainder.

1, 11, 6343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69762 and 69773. The biggest common factor number is the GCF number.
So the greatest common factor 69762 and 69773 is 11.

Also check out the Least Common Multiple of 69762 and 69773