What is the Greatest Common Factor of 69909 and 69916?

Greatest common factor (GCF) of 69909 and 69916 is 7.

GCF(69909,69916) = 7

We will now calculate the prime factors of 69909 and 69916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69909 and 69916.

How to find the GCF of 69909 and 69916?

We will first find the prime factorization of 69909 and 69916. After we will calculate the factors of 69909 and 69916 and find the biggest common factor number .

Step-1: Prime Factorization of 69909

Prime factors of 69909 are 3, 7, 3329. Prime factorization of 69909 in exponential form is:

69909 = 3¹ × 7¹ × 3329¹

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 69909

List of positive integer factors of 69909 that divides 69909 without a remainder.

1, 3, 7, 21, 3329, 9987, 23303

Step-4: Factors of 69916

List of positive integer factors of 69916 that divides 69909 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 69909 and 69916. The biggest common factor number is the GCF number.
So the greatest common factor 69909 and 69916 is 7.

Also check out the Least Common Multiple of 69909 and 69916