What is the Greatest Common Factor of 69916 and 69935?

Greatest common factor (GCF) of 69916 and 69935 is 1.

GCF(69916,69935) = 1

We will now calculate the prime factors of 69916 and 69935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69916 and 69935.

How to find the GCF of 69916 and 69935?

We will first find the prime factorization of 69916 and 69935. After we will calculate the factors of 69916 and 69935 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 69935

Prime factors of 69935 are 5, 71, 197. Prime factorization of 69935 in exponential form is:

69935 = 5¹ × 71¹ × 197¹

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 69935

List of positive integer factors of 69935 that divides 69916 without a remainder.

1, 5, 71, 197, 355, 985, 13987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69916 and 69935. The biggest common factor number is the GCF number.
So the greatest common factor 69916 and 69935 is 1.

Also check out the Least Common Multiple of 69916 and 69935