What is the Greatest Common Factor of 71428 and 71446?

Greatest common factor (GCF) of 71428 and 71446 is 2.

GCF(71428,71446) = 2

We will now calculate the prime factors of 71428 and 71446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71428 and 71446.

How to find the GCF of 71428 and 71446?

We will first find the prime factorization of 71428 and 71446. After we will calculate the factors of 71428 and 71446 and find the biggest common factor number .

Step-1: Prime Factorization of 71428

Prime factors of 71428 are 2, 7, 2551. Prime factorization of 71428 in exponential form is:

71428 = 2² × 7¹ × 2551¹

Step-2: Prime Factorization of 71446

Prime factors of 71446 are 2, 139, 257. Prime factorization of 71446 in exponential form is:

71446 = 2¹ × 139¹ × 257¹

Step-3: Factors of 71428

List of positive integer factors of 71428 that divides 71428 without a remainder.

1, 2, 4, 7, 14, 28, 2551, 5102, 10204, 17857, 35714

Step-4: Factors of 71446

List of positive integer factors of 71446 that divides 71428 without a remainder.

1, 2, 139, 257, 278, 514, 35723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71428 and 71446. The biggest common factor number is the GCF number.
So the greatest common factor 71428 and 71446 is 2.

Also check out the Least Common Multiple of 71428 and 71446