What is the Greatest Common Factor of 97221 and 97236?

Greatest common factor (GCF) of 97221 and 97236 is 3.

GCF(97221,97236) = 3

We will now calculate the prime factors of 97221 and 97236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97221 and 97236.

How to find the GCF of 97221 and 97236?

We will first find the prime factorization of 97221 and 97236. After we will calculate the factors of 97221 and 97236 and find the biggest common factor number .

Step-1: Prime Factorization of 97221

Prime factors of 97221 are 3, 23, 1409. Prime factorization of 97221 in exponential form is:

97221 = 3¹ × 23¹ × 1409¹

Step-2: Prime Factorization of 97236

Prime factors of 97236 are 2, 3, 37, 73. Prime factorization of 97236 in exponential form is:

97236 = 2² × 3² × 37¹ × 73¹

Step-3: Factors of 97221

List of positive integer factors of 97221 that divides 97221 without a remainder.

1, 3, 23, 69, 1409, 4227, 32407

Step-4: Factors of 97236

List of positive integer factors of 97236 that divides 97221 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 73, 74, 111, 146, 148, 219, 222, 292, 333, 438, 444, 657, 666, 876, 1314, 1332, 2628, 2701, 5402, 8103, 10804, 16206, 24309, 32412, 48618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97221 and 97236. The biggest common factor number is the GCF number.
So the greatest common factor 97221 and 97236 is 3.

Also check out the Least Common Multiple of 97221 and 97236