What is the Greatest Common Factor of 97696 and 97714?

Greatest common factor (GCF) of 97696 and 97714 is 2.

GCF(97696,97714) = 2

We will now calculate the prime factors of 97696 and 97714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97696 and 97714.

How to find the GCF of 97696 and 97714?

We will first find the prime factorization of 97696 and 97714. After we will calculate the factors of 97696 and 97714 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97714

Prime factors of 97714 are 2, 48857. Prime factorization of 97714 in exponential form is:

97714 = 2¹ × 48857¹

Step-3: Factors of 97696

List of positive integer factors of 97696 that divides 97696 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

Step-4: Factors of 97714

List of positive integer factors of 97714 that divides 97696 without a remainder.

1, 2, 48857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97696 and 97714. The biggest common factor number is the GCF number.
So the greatest common factor 97696 and 97714 is 2.

Also check out the Least Common Multiple of 97696 and 97714