What is the Greatest Common Factor of 79989 and 80001?

Greatest common factor (GCF) of 79989 and 80001 is 3.

GCF(79989,80001) = 3

We will now calculate the prime factors of 79989 and 80001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79989 and 80001.

How to find the GCF of 79989 and 80001?

We will first find the prime factorization of 79989 and 80001. After we will calculate the factors of 79989 and 80001 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80001

Prime factors of 80001 are 3, 2963. Prime factorization of 80001 in exponential form is:

80001 = 3³ × 2963¹

Step-3: Factors of 79989

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

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

Step-4: Factors of 80001

List of positive integer factors of 80001 that divides 79989 without a remainder.

1, 3, 9, 27, 2963, 8889, 26667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79989 and 80001. The biggest common factor number is the GCF number.
So the greatest common factor 79989 and 80001 is 3.

Also check out the Least Common Multiple of 79989 and 80001