What is the Greatest Common Factor of 97228 and 97243?

Greatest common factor (GCF) of 97228 and 97243 is 1.

GCF(97228,97243) = 1

We will now calculate the prime factors of 97228 and 97243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97228 and 97243.

How to find the GCF of 97228 and 97243?

We will first find the prime factorization of 97228 and 97243. After we will calculate the factors of 97228 and 97243 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97243

Prime factors of 97243 are 47, 2069. Prime factorization of 97243 in exponential form is:

97243 = 47¹ × 2069¹

Step-3: Factors of 97228

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

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

Step-4: Factors of 97243

List of positive integer factors of 97243 that divides 97228 without a remainder.

1, 47, 2069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97228 and 97243. The biggest common factor number is the GCF number.
So the greatest common factor 97228 and 97243 is 1.

Also check out the Least Common Multiple of 97228 and 97243