What is the Greatest Common Factor of 69759 and 69774?

Greatest common factor (GCF) of 69759 and 69774 is 3.

GCF(69759,69774) = 3

We will now calculate the prime factors of 69759 and 69774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69759 and 69774.

How to find the GCF of 69759 and 69774?

We will first find the prime factorization of 69759 and 69774. After we will calculate the factors of 69759 and 69774 and find the biggest common factor number .

Step-1: Prime Factorization of 69759

Prime factors of 69759 are 3, 23, 337. Prime factorization of 69759 in exponential form is:

69759 = 3² × 23¹ × 337¹

Step-2: Prime Factorization of 69774

Prime factors of 69774 are 2, 3, 29, 401. Prime factorization of 69774 in exponential form is:

69774 = 2¹ × 3¹ × 29¹ × 401¹

Step-3: Factors of 69759

List of positive integer factors of 69759 that divides 69759 without a remainder.

1, 3, 9, 23, 69, 207, 337, 1011, 3033, 7751, 23253

Step-4: Factors of 69774

List of positive integer factors of 69774 that divides 69759 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 401, 802, 1203, 2406, 11629, 23258, 34887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69759 and 69774. The biggest common factor number is the GCF number.
So the greatest common factor 69759 and 69774 is 3.

Also check out the Least Common Multiple of 69759 and 69774