What is the Greatest Common Factor of 79989 and 80008?

Greatest common factor (GCF) of 79989 and 80008 is 1.

GCF(79989,80008) = 1

We will now calculate the prime factors of 79989 and 80008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79989 and 80008.

How to find the GCF of 79989 and 80008?

We will first find the prime factorization of 79989 and 80008. After we will calculate the factors of 79989 and 80008 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 80008

Prime factors of 80008 are 2, 73, 137. Prime factorization of 80008 in exponential form is:

80008 = 2³ × 73¹ × 137¹

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 80008

List of positive integer factors of 80008 that divides 79989 without a remainder.

1, 2, 4, 8, 73, 137, 146, 274, 292, 548, 584, 1096, 10001, 20002, 40004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79989 and 80008. The biggest common factor number is the GCF number.
So the greatest common factor 79989 and 80008 is 1.

Also check out the Least Common Multiple of 79989 and 80008