What is the Greatest Common Factor of 97216 and 97230?

Greatest common factor (GCF) of 97216 and 97230 is 14.

GCF(97216,97230) = 14

We will now calculate the prime factors of 97216 and 97230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97216 and 97230.

How to find the GCF of 97216 and 97230?

We will first find the prime factorization of 97216 and 97230. After we will calculate the factors of 97216 and 97230 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 97230

Prime factors of 97230 are 2, 3, 5, 7, 463. Prime factorization of 97230 in exponential form is:

97230 = 2¹ × 3¹ × 5¹ × 7¹ × 463¹

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 97230

List of positive integer factors of 97230 that divides 97216 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 463, 926, 1389, 2315, 2778, 3241, 4630, 6482, 6945, 9723, 13890, 16205, 19446, 32410, 48615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97216 and 97230. The biggest common factor number is the GCF number.
So the greatest common factor 97216 and 97230 is 14.

Also check out the Least Common Multiple of 97216 and 97230