What is the Greatest Common Factor of 97236 and 97255?

Greatest common factor (GCF) of 97236 and 97255 is 1.

GCF(97236,97255) = 1

We will now calculate the prime factors of 97236 and 97255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97236 and 97255.

How to find the GCF of 97236 and 97255?

We will first find the prime factorization of 97236 and 97255. After we will calculate the factors of 97236 and 97255 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97255

Prime factors of 97255 are 5, 53, 367. Prime factorization of 97255 in exponential form is:

97255 = 5¹ × 53¹ × 367¹

Step-3: Factors of 97236

List of positive integer factors of 97236 that divides 97236 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

Step-4: Factors of 97255

List of positive integer factors of 97255 that divides 97236 without a remainder.

1, 5, 53, 265, 367, 1835, 19451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97236 and 97255. The biggest common factor number is the GCF number.
So the greatest common factor 97236 and 97255 is 1.

Also check out the Least Common Multiple of 97236 and 97255