What is the Greatest Common Factor of 97712 and 97728?

Greatest common factor (GCF) of 97712 and 97728 is 16.

GCF(97712,97728) = 16

We will now calculate the prime factors of 97712 and 97728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97712 and 97728.

How to find the GCF of 97712 and 97728?

We will first find the prime factorization of 97712 and 97728. After we will calculate the factors of 97712 and 97728 and find the biggest common factor number .

Step-1: Prime Factorization of 97712

Prime factors of 97712 are 2, 31, 197. Prime factorization of 97712 in exponential form is:

97712 = 2⁴ × 31¹ × 197¹

Step-2: Prime Factorization of 97728

Prime factors of 97728 are 2, 3, 509. Prime factorization of 97728 in exponential form is:

97728 = 2⁶ × 3¹ × 509¹

Step-3: Factors of 97712

List of positive integer factors of 97712 that divides 97712 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 197, 248, 394, 496, 788, 1576, 3152, 6107, 12214, 24428, 48856

Step-4: Factors of 97728

List of positive integer factors of 97728 that divides 97712 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 509, 1018, 1527, 2036, 3054, 4072, 6108, 8144, 12216, 16288, 24432, 32576, 48864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97712 and 97728. The biggest common factor number is the GCF number.
So the greatest common factor 97712 and 97728 is 16.

Also check out the Least Common Multiple of 97712 and 97728