What is the Greatest Common Factor of 79981 and 79989?

Greatest common factor (GCF) of 79981 and 79989 is 1.

GCF(79981,79989) = 1

We will now calculate the prime factors of 79981 and 79989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79981 and 79989.

How to find the GCF of 79981 and 79989?

We will first find the prime factorization of 79981 and 79989. After we will calculate the factors of 79981 and 79989 and find the biggest common factor number .

Step-1: Prime Factorization of 79981

Prime factors of 79981 are 11, 661. Prime factorization of 79981 in exponential form is:

79981 = 11² × 661¹

Step-2: Prime Factorization of 79989

Prime factors of 79989 are 3, 7, 13, 293. Prime factorization of 79989 in exponential form is:

79989 = 3¹ × 7¹ × 13¹ × 293¹

Step-3: Factors of 79981

List of positive integer factors of 79981 that divides 79981 without a remainder.

1, 11, 121, 661, 7271

Step-4: Factors of 79989

List of positive integer factors of 79989 that divides 79981 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273, 293, 879, 2051, 3809, 6153, 11427, 26663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79981 and 79989. The biggest common factor number is the GCF number.
So the greatest common factor 79981 and 79989 is 1.

Also check out the Least Common Multiple of 79981 and 79989