What is the Greatest Common Factor of 69887 and 69904?

Greatest common factor (GCF) of 69887 and 69904 is 17.

GCF(69887,69904) = 17

We will now calculate the prime factors of 69887 and 69904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69887 and 69904.

How to find the GCF of 69887 and 69904?

We will first find the prime factorization of 69887 and 69904. After we will calculate the factors of 69887 and 69904 and find the biggest common factor number .

Step-1: Prime Factorization of 69887

Prime factors of 69887 are 17, 4111. Prime factorization of 69887 in exponential form is:

69887 = 17¹ × 4111¹

Step-2: 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-3: Factors of 69887

List of positive integer factors of 69887 that divides 69887 without a remainder.

1, 17, 4111

Step-4: Factors of 69904

List of positive integer factors of 69904 that divides 69887 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69887 and 69904. The biggest common factor number is the GCF number.
So the greatest common factor 69887 and 69904 is 17.

Also check out the Least Common Multiple of 69887 and 69904