What is the Greatest Common Factor of 78981 and 78996?

Greatest common factor (GCF) of 78981 and 78996 is 3.

GCF(78981,78996) = 3

We will now calculate the prime factors of 78981 and 78996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78981 and 78996.

How to find the GCF of 78981 and 78996?

We will first find the prime factorization of 78981 and 78996. After we will calculate the factors of 78981 and 78996 and find the biggest common factor number .

Step-1: Prime Factorization of 78981

Prime factors of 78981 are 3, 7, 3761. Prime factorization of 78981 in exponential form is:

78981 = 3¹ × 7¹ × 3761¹

Step-2: Prime Factorization of 78996

Prime factors of 78996 are 2, 3, 29, 227. Prime factorization of 78996 in exponential form is:

78996 = 2² × 3¹ × 29¹ × 227¹

Step-3: Factors of 78981

List of positive integer factors of 78981 that divides 78981 without a remainder.

1, 3, 7, 21, 3761, 11283, 26327

Step-4: Factors of 78996

List of positive integer factors of 78996 that divides 78981 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 227, 348, 454, 681, 908, 1362, 2724, 6583, 13166, 19749, 26332, 39498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78981 and 78996. The biggest common factor number is the GCF number.
So the greatest common factor 78981 and 78996 is 3.

Also check out the Least Common Multiple of 78981 and 78996