What is the Greatest Common Factor of 78914 and 78931?

Greatest common factor (GCF) of 78914 and 78931 is 17.

GCF(78914,78931) = 17

We will now calculate the prime factors of 78914 and 78931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78914 and 78931.

How to find the GCF of 78914 and 78931?

We will first find the prime factorization of 78914 and 78931. After we will calculate the factors of 78914 and 78931 and find the biggest common factor number .

Step-1: Prime Factorization of 78914

Prime factors of 78914 are 2, 11, 17, 211. Prime factorization of 78914 in exponential form is:

78914 = 2¹ × 11¹ × 17¹ × 211¹

Step-2: Prime Factorization of 78931

Prime factors of 78931 are 17, 4643. Prime factorization of 78931 in exponential form is:

78931 = 17¹ × 4643¹

Step-3: Factors of 78914

List of positive integer factors of 78914 that divides 78914 without a remainder.

1, 2, 11, 17, 22, 34, 187, 211, 374, 422, 2321, 3587, 4642, 7174, 39457

Step-4: Factors of 78931

List of positive integer factors of 78931 that divides 78914 without a remainder.

1, 17, 4643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78914 and 78931. The biggest common factor number is the GCF number.
So the greatest common factor 78914 and 78931 is 17.

Also check out the Least Common Multiple of 78914 and 78931