What is the Greatest Common Factor of 97224 and 97233?

Greatest common factor (GCF) of 97224 and 97233 is 3.

GCF(97224,97233) = 3

We will now calculate the prime factors of 97224 and 97233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97224 and 97233.

How to find the GCF of 97224 and 97233?

We will first find the prime factorization of 97224 and 97233. After we will calculate the factors of 97224 and 97233 and find the biggest common factor number .

Step-1: Prime Factorization of 97224

Prime factors of 97224 are 2, 3, 4051. Prime factorization of 97224 in exponential form is:

97224 = 2³ × 3¹ × 4051¹

Step-2: Prime Factorization of 97233

Prime factors of 97233 are 3, 32411. Prime factorization of 97233 in exponential form is:

97233 = 3¹ × 32411¹

Step-3: Factors of 97224

List of positive integer factors of 97224 that divides 97224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4051, 8102, 12153, 16204, 24306, 32408, 48612

Step-4: Factors of 97233

List of positive integer factors of 97233 that divides 97224 without a remainder.

1, 3, 32411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97224 and 97233. The biggest common factor number is the GCF number.
So the greatest common factor 97224 and 97233 is 3.

Also check out the Least Common Multiple of 97224 and 97233