What is the Greatest Common Factor of 79978 and 79990?

Greatest common factor (GCF) of 79978 and 79990 is 2.

GCF(79978,79990) = 2

We will now calculate the prime factors of 79978 and 79990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79978 and 79990.

How to find the GCF of 79978 and 79990?

We will first find the prime factorization of 79978 and 79990. After we will calculate the factors of 79978 and 79990 and find the biggest common factor number .

Step-1: Prime Factorization of 79978

Prime factors of 79978 are 2, 39989. Prime factorization of 79978 in exponential form is:

79978 = 2¹ × 39989¹

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 79978

List of positive integer factors of 79978 that divides 79978 without a remainder.

1, 2, 39989

Step-4: Factors of 79990

List of positive integer factors of 79990 that divides 79978 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 79978 and 79990. The biggest common factor number is the GCF number.
So the greatest common factor 79978 and 79990 is 2.

Also check out the Least Common Multiple of 79978 and 79990