What is the Greatest Common Factor of 76242 and 76259?

Greatest common factor (GCF) of 76242 and 76259 is 1.

GCF(76242,76259) = 1

We will now calculate the prime factors of 76242 and 76259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76242 and 76259.

How to find the GCF of 76242 and 76259?

We will first find the prime factorization of 76242 and 76259. After we will calculate the factors of 76242 and 76259 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 76259

Prime factors of 76259 are 76259. Prime factorization of 76259 in exponential form is:

76259 = 76259¹

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 76259

List of positive integer factors of 76259 that divides 76242 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76242 and 76259. The biggest common factor number is the GCF number.
So the greatest common factor 76242 and 76259 is 1.

Also check out the Least Common Multiple of 76242 and 76259