What is the Greatest Common Factor of 69905 and 69916?

Greatest common factor (GCF) of 69905 and 69916 is 11.

GCF(69905,69916) = 11

We will now calculate the prime factors of 69905 and 69916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69905 and 69916.

How to find the GCF of 69905 and 69916?

We will first find the prime factorization of 69905 and 69916. After we will calculate the factors of 69905 and 69916 and find the biggest common factor number .

Step-1: Prime Factorization of 69905

Prime factors of 69905 are 5, 11, 31, 41. Prime factorization of 69905 in exponential form is:

69905 = 5¹ × 11¹ × 31¹ × 41¹

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 69905

List of positive integer factors of 69905 that divides 69905 without a remainder.

1, 5, 11, 31, 41, 55, 155, 205, 341, 451, 1271, 1705, 2255, 6355, 13981

Step-4: Factors of 69916

List of positive integer factors of 69916 that divides 69905 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 69905 and 69916. The biggest common factor number is the GCF number.
So the greatest common factor 69905 and 69916 is 11.

Also check out the Least Common Multiple of 69905 and 69916