What is the Greatest Common Factor of 97216 and 97228?

Greatest common factor (GCF) of 97216 and 97228 is 4.

GCF(97216,97228) = 4

We will now calculate the prime factors of 97216 and 97228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97216 and 97228.

How to find the GCF of 97216 and 97228?

We will first find the prime factorization of 97216 and 97228. After we will calculate the factors of 97216 and 97228 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 97228

Prime factors of 97228 are 2, 109, 223. Prime factorization of 97228 in exponential form is:

97228 = 2² × 109¹ × 223¹

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 97228

List of positive integer factors of 97228 that divides 97216 without a remainder.

1, 2, 4, 109, 218, 223, 436, 446, 892, 24307, 48614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97216 and 97228. The biggest common factor number is the GCF number.
So the greatest common factor 97216 and 97228 is 4.

Also check out the Least Common Multiple of 97216 and 97228