What is the Greatest Common Factor of 97984 and 97990?

Greatest common factor (GCF) of 97984 and 97990 is 2.

GCF(97984,97990) = 2

We will now calculate the prime factors of 97984 and 97990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97984 and 97990.

How to find the GCF of 97984 and 97990?

We will first find the prime factorization of 97984 and 97990. After we will calculate the factors of 97984 and 97990 and find the biggest common factor number .

Step-1: Prime Factorization of 97984

Prime factors of 97984 are 2, 1531. Prime factorization of 97984 in exponential form is:

97984 = 2⁶ × 1531¹

Step-2: 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-3: Factors of 97984

List of positive integer factors of 97984 that divides 97984 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1531, 3062, 6124, 12248, 24496, 48992

Step-4: Factors of 97990

List of positive integer factors of 97990 that divides 97984 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97984 and 97990. The biggest common factor number is the GCF number.
So the greatest common factor 97984 and 97990 is 2.

Also check out the Least Common Multiple of 97984 and 97990