What is the Greatest Common Factor of 9700 and 9712?

Greatest common factor (GCF) of 9700 and 9712 is 4.

GCF(9700,9712) = 4

We will now calculate the prime factors of 9700 and 9712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9700 and 9712.

How to find the GCF of 9700 and 9712?

We will first find the prime factorization of 9700 and 9712. After we will calculate the factors of 9700 and 9712 and find the biggest common factor number .

Step-1: Prime Factorization of 9700

Prime factors of 9700 are 2, 5, 97. Prime factorization of 9700 in exponential form is:

9700 = 2² × 5² × 97¹

Step-2: Prime Factorization of 9712

Prime factors of 9712 are 2, 607. Prime factorization of 9712 in exponential form is:

9712 = 2⁴ × 607¹

Step-3: Factors of 9700

List of positive integer factors of 9700 that divides 9700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850

Step-4: Factors of 9712

List of positive integer factors of 9712 that divides 9700 without a remainder.

1, 2, 4, 8, 16, 607, 1214, 2428, 4856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9700 and 9712. The biggest common factor number is the GCF number.
So the greatest common factor 9700 and 9712 is 4.

Also check out the Least Common Multiple of 9700 and 9712