What is the Greatest Common Factor of 79986 and 79990?

Greatest common factor (GCF) of 79986 and 79990 is 2.

GCF(79986,79990) = 2

We will now calculate the prime factors of 79986 and 79990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79986 and 79990.

How to find the GCF of 79986 and 79990?

We will first find the prime factorization of 79986 and 79990. After we will calculate the factors of 79986 and 79990 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 79990

Prime factors of 79990 are 2, 5, 19, 421. Prime factorization of 79990 in exponential form is:

79990 = 2¹ × 5¹ × 19¹ × 421¹

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 79990

List of positive integer factors of 79990 that divides 79986 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 421, 842, 2105, 4210, 7999, 15998, 39995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79986 and 79990. The biggest common factor number is the GCF number.
So the greatest common factor 79986 and 79990 is 2.

Also check out the Least Common Multiple of 79986 and 79990