What is the Greatest Common Factor of 69908 and 69916?

Greatest common factor (GCF) of 69908 and 69916 is 4.

GCF(69908,69916) = 4

We will now calculate the prime factors of 69908 and 69916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69908 and 69916.

How to find the GCF of 69908 and 69916?

We will first find the prime factorization of 69908 and 69916. After we will calculate the factors of 69908 and 69916 and find the biggest common factor number .

Step-1: Prime Factorization of 69908

Prime factors of 69908 are 2, 17477. Prime factorization of 69908 in exponential form is:

69908 = 2² × 17477¹

Step-2: Prime Factorization of 69916

Prime factors of 69916 are 2, 7, 11, 227. Prime factorization of 69916 in exponential form is:

69916 = 2² × 7¹ × 11¹ × 227¹

Step-3: Factors of 69908

List of positive integer factors of 69908 that divides 69908 without a remainder.

1, 2, 4, 17477, 34954

Step-4: Factors of 69916

List of positive integer factors of 69916 that divides 69908 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 227, 308, 454, 908, 1589, 2497, 3178, 4994, 6356, 9988, 17479, 34958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69908 and 69916. The biggest common factor number is the GCF number.
So the greatest common factor 69908 and 69916 is 4.

Also check out the Least Common Multiple of 69908 and 69916