What is the Greatest Common Factor of 97684 and 97696?

Greatest common factor (GCF) of 97684 and 97696 is 4.

GCF(97684,97696) = 4

We will now calculate the prime factors of 97684 and 97696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97684 and 97696.

How to find the GCF of 97684 and 97696?

We will first find the prime factorization of 97684 and 97696. After we will calculate the factors of 97684 and 97696 and find the biggest common factor number .

Step-1: Prime Factorization of 97684

Prime factors of 97684 are 2, 24421. Prime factorization of 97684 in exponential form is:

97684 = 2² × 24421¹

Step-2: Prime Factorization of 97696

Prime factors of 97696 are 2, 43, 71. Prime factorization of 97696 in exponential form is:

97696 = 2⁵ × 43¹ × 71¹

Step-3: Factors of 97684

List of positive integer factors of 97684 that divides 97684 without a remainder.

1, 2, 4, 24421, 48842

Step-4: Factors of 97696

List of positive integer factors of 97696 that divides 97684 without a remainder.

1, 2, 4, 8, 16, 32, 43, 71, 86, 142, 172, 284, 344, 568, 688, 1136, 1376, 2272, 3053, 6106, 12212, 24424, 48848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97684 and 97696. The biggest common factor number is the GCF number.
So the greatest common factor 97684 and 97696 is 4.

Also check out the Least Common Multiple of 97684 and 97696