What is the Greatest Common Factor of 76225 and 76242?

Greatest common factor (GCF) of 76225 and 76242 is 1.

GCF(76225,76242) = 1

We will now calculate the prime factors of 76225 and 76242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76225 and 76242.

How to find the GCF of 76225 and 76242?

We will first find the prime factorization of 76225 and 76242. After we will calculate the factors of 76225 and 76242 and find the biggest common factor number .

Step-1: Prime Factorization of 76225

Prime factors of 76225 are 5, 3049. Prime factorization of 76225 in exponential form is:

76225 = 5² × 3049¹

Step-2: 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-3: Factors of 76225

List of positive integer factors of 76225 that divides 76225 without a remainder.

1, 5, 25, 3049, 15245

Step-4: Factors of 76242

List of positive integer factors of 76242 that divides 76225 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76225 and 76242. The biggest common factor number is the GCF number.
So the greatest common factor 76225 and 76242 is 1.

Also check out the Least Common Multiple of 76225 and 76242