What is the Greatest Common Factor of 69916 and 69926?

Greatest common factor (GCF) of 69916 and 69926 is 2.

GCF(69916,69926) = 2

We will now calculate the prime factors of 69916 and 69926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69916 and 69926.

How to find the GCF of 69916 and 69926?

We will first find the prime factorization of 69916 and 69926. After we will calculate the factors of 69916 and 69926 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 69926

Prime factors of 69926 are 2, 34963. Prime factorization of 69926 in exponential form is:

69926 = 2¹ × 34963¹

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 69926

List of positive integer factors of 69926 that divides 69916 without a remainder.

1, 2, 34963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69916 and 69926. The biggest common factor number is the GCF number.
So the greatest common factor 69916 and 69926 is 2.

Also check out the Least Common Multiple of 69916 and 69926