What is the Greatest Common Factor of 76214 and 76225?

Greatest common factor (GCF) of 76214 and 76225 is 1.

GCF(76214,76225) = 1

We will now calculate the prime factors of 76214 and 76225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76214 and 76225.

How to find the GCF of 76214 and 76225?

We will first find the prime factorization of 76214 and 76225. After we will calculate the factors of 76214 and 76225 and find the biggest common factor number .

Step-1: Prime Factorization of 76214

Prime factors of 76214 are 2, 53, 719. Prime factorization of 76214 in exponential form is:

76214 = 2¹ × 53¹ × 719¹

Step-2: Prime Factorization of 76225

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

76225 = 5² × 3049¹

Step-3: Factors of 76214

List of positive integer factors of 76214 that divides 76214 without a remainder.

1, 2, 53, 106, 719, 1438, 38107

Step-4: Factors of 76225

List of positive integer factors of 76225 that divides 76214 without a remainder.

1, 5, 25, 3049, 15245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76214 and 76225. The biggest common factor number is the GCF number.
So the greatest common factor 76214 and 76225 is 1.

Also check out the Least Common Multiple of 76214 and 76225