What is the Greatest Common Factor of 97884 and 97904?

Greatest common factor (GCF) of 97884 and 97904 is 4.

GCF(97884,97904) = 4

We will now calculate the prime factors of 97884 and 97904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97884 and 97904.

How to find the GCF of 97884 and 97904?

We will first find the prime factorization of 97884 and 97904. After we will calculate the factors of 97884 and 97904 and find the biggest common factor number .

Step-1: Prime Factorization of 97884

Prime factors of 97884 are 2, 3, 2719. Prime factorization of 97884 in exponential form is:

97884 = 2² × 3² × 2719¹

Step-2: Prime Factorization of 97904

Prime factors of 97904 are 2, 29, 211. Prime factorization of 97904 in exponential form is:

97904 = 2⁴ × 29¹ × 211¹

Step-3: Factors of 97884

List of positive integer factors of 97884 that divides 97884 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2719, 5438, 8157, 10876, 16314, 24471, 32628, 48942

Step-4: Factors of 97904

List of positive integer factors of 97904 that divides 97884 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 211, 232, 422, 464, 844, 1688, 3376, 6119, 12238, 24476, 48952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97884 and 97904. The biggest common factor number is the GCF number.
So the greatest common factor 97884 and 97904 is 4.

Also check out the Least Common Multiple of 97884 and 97904