What is the Greatest Common Factor of 69800 and 69804?

Greatest common factor (GCF) of 69800 and 69804 is 4.

GCF(69800,69804) = 4

We will now calculate the prime factors of 69800 and 69804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69800 and 69804.

How to find the GCF of 69800 and 69804?

We will first find the prime factorization of 69800 and 69804. After we will calculate the factors of 69800 and 69804 and find the biggest common factor number .

Step-1: Prime Factorization of 69800

Prime factors of 69800 are 2, 5, 349. Prime factorization of 69800 in exponential form is:

69800 = 2³ × 5² × 349¹

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 69800

List of positive integer factors of 69800 that divides 69800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 349, 698, 1396, 1745, 2792, 3490, 6980, 8725, 13960, 17450, 34900

Step-4: Factors of 69804

List of positive integer factors of 69804 that divides 69800 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 69800 and 69804. The biggest common factor number is the GCF number.
So the greatest common factor 69800 and 69804 is 4.

Also check out the Least Common Multiple of 69800 and 69804