What is the Greatest Common Factor of 76242 and 76258?

Greatest common factor (GCF) of 76242 and 76258 is 2.

GCF(76242,76258) = 2

We will now calculate the prime factors of 76242 and 76258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76242 and 76258.

How to find the GCF of 76242 and 76258?

We will first find the prime factorization of 76242 and 76258. After we will calculate the factors of 76242 and 76258 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 76258

Prime factors of 76258 are 2, 7, 13, 419. Prime factorization of 76258 in exponential form is:

76258 = 2¹ × 7¹ × 13¹ × 419¹

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 76258

List of positive integer factors of 76258 that divides 76242 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 419, 838, 2933, 5447, 5866, 10894, 38129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76242 and 76258. The biggest common factor number is the GCF number.
So the greatest common factor 76242 and 76258 is 2.

Also check out the Least Common Multiple of 76242 and 76258