What is the Greatest Common Factor of 69904 and 69921?

Greatest common factor (GCF) of 69904 and 69921 is 17.

GCF(69904,69921) = 17

We will now calculate the prime factors of 69904 and 69921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69904 and 69921.

How to find the GCF of 69904 and 69921?

We will first find the prime factorization of 69904 and 69921. After we will calculate the factors of 69904 and 69921 and find the biggest common factor number .

Step-1: Prime Factorization of 69904

Prime factors of 69904 are 2, 17, 257. Prime factorization of 69904 in exponential form is:

69904 = 2⁴ × 17¹ × 257¹

Step-2: Prime Factorization of 69921

Prime factors of 69921 are 3, 17, 457. Prime factorization of 69921 in exponential form is:

69921 = 3² × 17¹ × 457¹

Step-3: Factors of 69904

List of positive integer factors of 69904 that divides 69904 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 257, 272, 514, 1028, 2056, 4112, 4369, 8738, 17476, 34952

Step-4: Factors of 69921

List of positive integer factors of 69921 that divides 69904 without a remainder.

1, 3, 9, 17, 51, 153, 457, 1371, 4113, 7769, 23307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69904 and 69921. The biggest common factor number is the GCF number.
So the greatest common factor 69904 and 69921 is 17.

Also check out the Least Common Multiple of 69904 and 69921