What is the Greatest Common Factor of 69916 and 69929?

Greatest common factor (GCF) of 69916 and 69929 is 1.

GCF(69916,69929) = 1

We will now calculate the prime factors of 69916 and 69929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69916 and 69929.

How to find the GCF of 69916 and 69929?

We will first find the prime factorization of 69916 and 69929. After we will calculate the factors of 69916 and 69929 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69929

Prime factors of 69929 are 69929. Prime factorization of 69929 in exponential form is:

69929 = 69929¹

Step-3: Factors of 69916

List of positive integer factors of 69916 that divides 69916 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

Step-4: Factors of 69929

List of positive integer factors of 69929 that divides 69916 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69916 and 69929. The biggest common factor number is the GCF number.
So the greatest common factor 69916 and 69929 is 1.

Also check out the Least Common Multiple of 69916 and 69929