What is the Greatest Common Factor of 78916 and 78920?

Greatest common factor (GCF) of 78916 and 78920 is 4.

GCF(78916,78920) = 4

We will now calculate the prime factors of 78916 and 78920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78916 and 78920.

How to find the GCF of 78916 and 78920?

We will first find the prime factorization of 78916 and 78920. After we will calculate the factors of 78916 and 78920 and find the biggest common factor number .

Step-1: Prime Factorization of 78916

Prime factors of 78916 are 2, 109, 181. Prime factorization of 78916 in exponential form is:

78916 = 2² × 109¹ × 181¹

Step-2: Prime Factorization of 78920

Prime factors of 78920 are 2, 5, 1973. Prime factorization of 78920 in exponential form is:

78920 = 2³ × 5¹ × 1973¹

Step-3: Factors of 78916

List of positive integer factors of 78916 that divides 78916 without a remainder.

1, 2, 4, 109, 181, 218, 362, 436, 724, 19729, 39458

Step-4: Factors of 78920

List of positive integer factors of 78920 that divides 78916 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1973, 3946, 7892, 9865, 15784, 19730, 39460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78916 and 78920. The biggest common factor number is the GCF number.
So the greatest common factor 78916 and 78920 is 4.

Also check out the Least Common Multiple of 78916 and 78920