What is the Greatest Common Factor of 97228 and 97246?

Greatest common factor (GCF) of 97228 and 97246 is 2.

GCF(97228,97246) = 2

We will now calculate the prime factors of 97228 and 97246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97228 and 97246.

How to find the GCF of 97228 and 97246?

We will first find the prime factorization of 97228 and 97246. After we will calculate the factors of 97228 and 97246 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 97246

Prime factors of 97246 are 2, 48623. Prime factorization of 97246 in exponential form is:

97246 = 2¹ × 48623¹

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 97246

List of positive integer factors of 97246 that divides 97228 without a remainder.

1, 2, 48623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97228 and 97246. The biggest common factor number is the GCF number.
So the greatest common factor 97228 and 97246 is 2.

Also check out the Least Common Multiple of 97228 and 97246