What is the Greatest Common Factor of 69753 and 69762?

Greatest common factor (GCF) of 69753 and 69762 is 3.

GCF(69753,69762) = 3

We will now calculate the prime factors of 69753 and 69762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69753 and 69762.

How to find the GCF of 69753 and 69762?

We will first find the prime factorization of 69753 and 69762. After we will calculate the factors of 69753 and 69762 and find the biggest common factor number .

Step-1: Prime Factorization of 69753

Prime factors of 69753 are 3, 23251. Prime factorization of 69753 in exponential form is:

69753 = 3¹ × 23251¹

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 69753

List of positive integer factors of 69753 that divides 69753 without a remainder.

1, 3, 23251

Step-4: Factors of 69762

List of positive integer factors of 69762 that divides 69753 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 69753 and 69762. The biggest common factor number is the GCF number.
So the greatest common factor 69753 and 69762 is 3.

Also check out the Least Common Multiple of 69753 and 69762