What is the Greatest Common Factor of 78008 and 78014?

Greatest common factor (GCF) of 78008 and 78014 is 2.

GCF(78008,78014) = 2

We will now calculate the prime factors of 78008 and 78014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78008 and 78014.

How to find the GCF of 78008 and 78014?

We will first find the prime factorization of 78008 and 78014. After we will calculate the factors of 78008 and 78014 and find the biggest common factor number .

Step-1: Prime Factorization of 78008

Prime factors of 78008 are 2, 7, 199. Prime factorization of 78008 in exponential form is:

78008 = 2³ × 7² × 199¹

Step-2: Prime Factorization of 78014

Prime factors of 78014 are 2, 19, 2053. Prime factorization of 78014 in exponential form is:

78014 = 2¹ × 19¹ × 2053¹

Step-3: Factors of 78008

List of positive integer factors of 78008 that divides 78008 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 199, 392, 398, 796, 1393, 1592, 2786, 5572, 9751, 11144, 19502, 39004

Step-4: Factors of 78014

List of positive integer factors of 78014 that divides 78008 without a remainder.

1, 2, 19, 38, 2053, 4106, 39007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78008 and 78014. The biggest common factor number is the GCF number.
So the greatest common factor 78008 and 78014 is 2.

Also check out the Least Common Multiple of 78008 and 78014