What is the Greatest Common Factor of 69902 and 69916?

Greatest common factor (GCF) of 69902 and 69916 is 14.

GCF(69902,69916) = 14

We will now calculate the prime factors of 69902 and 69916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69902 and 69916.

How to find the GCF of 69902 and 69916?

We will first find the prime factorization of 69902 and 69916. After we will calculate the factors of 69902 and 69916 and find the biggest common factor number .

Step-1: Prime Factorization of 69902

Prime factors of 69902 are 2, 7, 4993. Prime factorization of 69902 in exponential form is:

69902 = 2¹ × 7¹ × 4993¹

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 69902

List of positive integer factors of 69902 that divides 69902 without a remainder.

1, 2, 7, 14, 4993, 9986, 34951

Step-4: Factors of 69916

List of positive integer factors of 69916 that divides 69902 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 69902 and 69916. The biggest common factor number is the GCF number.
So the greatest common factor 69902 and 69916 is 14.

Also check out the Least Common Multiple of 69902 and 69916