What is the Greatest Common Factor of 79986 and 79998?

Greatest common factor (GCF) of 79986 and 79998 is 6.

GCF(79986,79998) = 6

We will now calculate the prime factors of 79986 and 79998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79986 and 79998.

How to find the GCF of 79986 and 79998?

We will first find the prime factorization of 79986 and 79998. After we will calculate the factors of 79986 and 79998 and find the biggest common factor number .

Step-1: Prime Factorization of 79986

Prime factors of 79986 are 2, 3, 13331. Prime factorization of 79986 in exponential form is:

79986 = 2¹ × 3¹ × 13331¹

Step-2: 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-3: Factors of 79986

List of positive integer factors of 79986 that divides 79986 without a remainder.

1, 2, 3, 6, 13331, 26662, 39993

Step-4: Factors of 79998

List of positive integer factors of 79998 that divides 79986 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79986 and 79998. The biggest common factor number is the GCF number.
So the greatest common factor 79986 and 79998 is 6.

Also check out the Least Common Multiple of 79986 and 79998