What is the Greatest Common Factor of 69789 and 69804?

Greatest common factor (GCF) of 69789 and 69804 is 3.

GCF(69789,69804) = 3

We will now calculate the prime factors of 69789 and 69804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69789 and 69804.

How to find the GCF of 69789 and 69804?

We will first find the prime factorization of 69789 and 69804. After we will calculate the factors of 69789 and 69804 and find the biggest common factor number .

Step-1: Prime Factorization of 69789

Prime factors of 69789 are 3, 43, 541. Prime factorization of 69789 in exponential form is:

69789 = 3¹ × 43¹ × 541¹

Step-2: Prime Factorization of 69804

Prime factors of 69804 are 2, 3, 7, 277. Prime factorization of 69804 in exponential form is:

69804 = 2² × 3² × 7¹ × 277¹

Step-3: Factors of 69789

List of positive integer factors of 69789 that divides 69789 without a remainder.

1, 3, 43, 129, 541, 1623, 23263

Step-4: Factors of 69804

List of positive integer factors of 69804 that divides 69789 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 277, 554, 831, 1108, 1662, 1939, 2493, 3324, 3878, 4986, 5817, 7756, 9972, 11634, 17451, 23268, 34902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69789 and 69804. The biggest common factor number is the GCF number.
So the greatest common factor 69789 and 69804 is 3.

Also check out the Least Common Multiple of 69789 and 69804