What is the Greatest Common Factor of 412 and 430?

Greatest common factor (GCF) of 412 and 430 is 2.

GCF(412,430) = 2

We will now calculate the prime factors of 412 and 430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 412 and 430.

How to find the GCF of 412 and 430?

We will first find the prime factorization of 412 and 430. After we will calculate the factors of 412 and 430 and find the biggest common factor number .

Step-1: Prime Factorization of 412

Prime factors of 412 are 2, 103. Prime factorization of 412 in exponential form is:

412 = 2² × 103¹

Step-2: Prime Factorization of 430

Prime factors of 430 are 2, 5, 43. Prime factorization of 430 in exponential form is:

430 = 2¹ × 5¹ × 43¹

Step-3: Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206

Step-4: Factors of 430

List of positive integer factors of 430 that divides 412 without a remainder.

1, 2, 5, 10, 43, 86, 215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 412 and 430. The biggest common factor number is the GCF number.
So the greatest common factor 412 and 430 is 2.

Also check out the Least Common Multiple of 412 and 430