What is the Greatest Common Factor of 76242 and 76257?

Greatest common factor (GCF) of 76242 and 76257 is 3.

GCF(76242,76257) = 3

We will now calculate the prime factors of 76242 and 76257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76242 and 76257.

How to find the GCF of 76242 and 76257?

We will first find the prime factorization of 76242 and 76257. After we will calculate the factors of 76242 and 76257 and find the biggest common factor number .

Step-1: Prime Factorization of 76242

Prime factors of 76242 are 2, 3, 97, 131. Prime factorization of 76242 in exponential form is:

76242 = 2¹ × 3¹ × 97¹ × 131¹

Step-2: Prime Factorization of 76257

Prime factors of 76257 are 3, 37, 229. Prime factorization of 76257 in exponential form is:

76257 = 3² × 37¹ × 229¹

Step-3: Factors of 76242

List of positive integer factors of 76242 that divides 76242 without a remainder.

1, 2, 3, 6, 97, 131, 194, 262, 291, 393, 582, 786, 12707, 25414, 38121

Step-4: Factors of 76257

List of positive integer factors of 76257 that divides 76242 without a remainder.

1, 3, 9, 37, 111, 229, 333, 687, 2061, 8473, 25419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76242 and 76257. The biggest common factor number is the GCF number.
So the greatest common factor 76242 and 76257 is 3.

Also check out the Least Common Multiple of 76242 and 76257