What is the Greatest Common Factor of 79998 and 80013?

Greatest common factor (GCF) of 79998 and 80013 is 3.

GCF(79998,80013) = 3

We will now calculate the prime factors of 79998 and 80013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79998 and 80013.

How to find the GCF of 79998 and 80013?

We will first find the prime factorization of 79998 and 80013. After we will calculate the factors of 79998 and 80013 and find the biggest common factor number .

Step-1: Prime Factorization of 79998

Prime factors of 79998 are 2, 3, 67, 199. Prime factorization of 79998 in exponential form is:

79998 = 2¹ × 3¹ × 67¹ × 199¹

Step-2: Prime Factorization of 80013

Prime factors of 80013 are 3, 149, 179. Prime factorization of 80013 in exponential form is:

80013 = 3¹ × 149¹ × 179¹

Step-3: Factors of 79998

List of positive integer factors of 79998 that divides 79998 without a remainder.

1, 2, 3, 6, 67, 134, 199, 201, 398, 402, 597, 1194, 13333, 26666, 39999

Step-4: Factors of 80013

List of positive integer factors of 80013 that divides 79998 without a remainder.

1, 3, 149, 179, 447, 537, 26671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79998 and 80013. The biggest common factor number is the GCF number.
So the greatest common factor 79998 and 80013 is 3.

Also check out the Least Common Multiple of 79998 and 80013