What is the Greatest Common Factor of 97990 and 98008?

Greatest common factor (GCF) of 97990 and 98008 is 2.

GCF(97990,98008) = 2

We will now calculate the prime factors of 97990 and 98008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97990 and 98008.

How to find the GCF of 97990 and 98008?

We will first find the prime factorization of 97990 and 98008. After we will calculate the factors of 97990 and 98008 and find the biggest common factor number .

Step-1: Prime Factorization of 97990

Prime factors of 97990 are 2, 5, 41, 239. Prime factorization of 97990 in exponential form is:

97990 = 2¹ × 5¹ × 41¹ × 239¹

Step-2: Prime Factorization of 98008

Prime factors of 98008 are 2, 12251. Prime factorization of 98008 in exponential form is:

98008 = 2³ × 12251¹

Step-3: Factors of 97990

List of positive integer factors of 97990 that divides 97990 without a remainder.

1, 2, 5, 10, 41, 82, 205, 239, 410, 478, 1195, 2390, 9799, 19598, 48995

Step-4: Factors of 98008

List of positive integer factors of 98008 that divides 97990 without a remainder.

1, 2, 4, 8, 12251, 24502, 49004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97990 and 98008. The biggest common factor number is the GCF number.
So the greatest common factor 97990 and 98008 is 2.

Also check out the Least Common Multiple of 97990 and 98008