What is the Greatest Common Factor of 97230 and 97244?

Greatest common factor (GCF) of 97230 and 97244 is 14.

GCF(97230,97244) = 14

We will now calculate the prime factors of 97230 and 97244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97230 and 97244.

How to find the GCF of 97230 and 97244?

We will first find the prime factorization of 97230 and 97244. After we will calculate the factors of 97230 and 97244 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97244

Prime factors of 97244 are 2, 7, 23, 151. Prime factorization of 97244 in exponential form is:

97244 = 2² × 7¹ × 23¹ × 151¹

Step-3: Factors of 97230

List of positive integer factors of 97230 that divides 97230 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

Step-4: Factors of 97244

List of positive integer factors of 97244 that divides 97230 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 151, 161, 302, 322, 604, 644, 1057, 2114, 3473, 4228, 6946, 13892, 24311, 48622

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97230 and 97244. The biggest common factor number is the GCF number.
So the greatest common factor 97230 and 97244 is 14.

Also check out the Least Common Multiple of 97230 and 97244