What is the Greatest Common Factor of 69804 and 69808?

Greatest common factor (GCF) of 69804 and 69808 is 4.

GCF(69804,69808) = 4

We will now calculate the prime factors of 69804 and 69808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69804 and 69808.

How to find the GCF of 69804 and 69808?

We will first find the prime factorization of 69804 and 69808. After we will calculate the factors of 69804 and 69808 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69808

Prime factors of 69808 are 2, 4363. Prime factorization of 69808 in exponential form is:

69808 = 2⁴ × 4363¹

Step-3: Factors of 69804

List of positive integer factors of 69804 that divides 69804 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

Step-4: Factors of 69808

List of positive integer factors of 69808 that divides 69804 without a remainder.

1, 2, 4, 8, 16, 4363, 8726, 17452, 34904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69804 and 69808. The biggest common factor number is the GCF number.
So the greatest common factor 69804 and 69808 is 4.

Also check out the Least Common Multiple of 69804 and 69808