What is the Greatest Common Factor of 97216 and 97226?

Greatest common factor (GCF) of 97216 and 97226 is 2.

GCF(97216,97226) = 2

We will now calculate the prime factors of 97216 and 97226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97216 and 97226.

How to find the GCF of 97216 and 97226?

We will first find the prime factorization of 97216 and 97226. After we will calculate the factors of 97216 and 97226 and find the biggest common factor number .

Step-1: Prime Factorization of 97216

Prime factors of 97216 are 2, 7, 31. Prime factorization of 97216 in exponential form is:

97216 = 2⁶ × 7² × 31¹

Step-2: Prime Factorization of 97226

Prime factors of 97226 are 2, 173, 281. Prime factorization of 97226 in exponential form is:

97226 = 2¹ × 173¹ × 281¹

Step-3: Factors of 97216

List of positive integer factors of 97216 that divides 97216 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 49, 56, 62, 64, 98, 112, 124, 196, 217, 224, 248, 392, 434, 448, 496, 784, 868, 992, 1519, 1568, 1736, 1984, 3038, 3136, 3472, 6076, 6944, 12152, 13888, 24304, 48608

Step-4: Factors of 97226

List of positive integer factors of 97226 that divides 97216 without a remainder.

1, 2, 173, 281, 346, 562, 48613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97216 and 97226. The biggest common factor number is the GCF number.
So the greatest common factor 97216 and 97226 is 2.

Also check out the Least Common Multiple of 97216 and 97226