What is the Greatest Common Factor of 69747 and 69762?

Greatest common factor (GCF) of 69747 and 69762 is 3.

GCF(69747,69762) = 3

We will now calculate the prime factors of 69747 and 69762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69747 and 69762.

How to find the GCF of 69747 and 69762?

We will first find the prime factorization of 69747 and 69762. After we will calculate the factors of 69747 and 69762 and find the biggest common factor number .

Step-1: Prime Factorization of 69747

Prime factors of 69747 are 3, 67, 347. Prime factorization of 69747 in exponential form is:

69747 = 3¹ × 67¹ × 347¹

Step-2: 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-3: Factors of 69747

List of positive integer factors of 69747 that divides 69747 without a remainder.

1, 3, 67, 201, 347, 1041, 23249

Step-4: Factors of 69762

List of positive integer factors of 69762 that divides 69747 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69747 and 69762. The biggest common factor number is the GCF number.
So the greatest common factor 69747 and 69762 is 3.

Also check out the Least Common Multiple of 69747 and 69762