What is the Greatest Common Factor of 97984 and 97988?

Greatest common factor (GCF) of 97984 and 97988 is 4.

GCF(97984,97988) = 4

We will now calculate the prime factors of 97984 and 97988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97984 and 97988.

How to find the GCF of 97984 and 97988?

We will first find the prime factorization of 97984 and 97988. After we will calculate the factors of 97984 and 97988 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 97988

Prime factors of 97988 are 2, 11, 17, 131. Prime factorization of 97988 in exponential form is:

97988 = 2² × 11¹ × 17¹ × 131¹

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 97988

List of positive integer factors of 97988 that divides 97984 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 131, 187, 262, 374, 524, 748, 1441, 2227, 2882, 4454, 5764, 8908, 24497, 48994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97984 and 97988. The biggest common factor number is the GCF number.
So the greatest common factor 97984 and 97988 is 4.

Also check out the Least Common Multiple of 97984 and 97988