What is the Greatest Common Factor of 31424 and 31430?

Greatest common factor (GCF) of 31424 and 31430 is 2.

GCF(31424,31430) = 2

We will now calculate the prime factors of 31424 and 31430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31424 and 31430.

How to find the GCF of 31424 and 31430?

We will first find the prime factorization of 31424 and 31430. After we will calculate the factors of 31424 and 31430 and find the biggest common factor number .

Step-1: Prime Factorization of 31424

Prime factors of 31424 are 2, 491. Prime factorization of 31424 in exponential form is:

31424 = 2⁶ × 491¹

Step-2: Prime Factorization of 31430

Prime factors of 31430 are 2, 5, 7, 449. Prime factorization of 31430 in exponential form is:

31430 = 2¹ × 5¹ × 7¹ × 449¹

Step-3: Factors of 31424

List of positive integer factors of 31424 that divides 31424 without a remainder.

1, 2, 4, 8, 16, 32, 64, 491, 982, 1964, 3928, 7856, 15712

Step-4: Factors of 31430

List of positive integer factors of 31430 that divides 31424 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 449, 898, 2245, 3143, 4490, 6286, 15715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31424 and 31430. The biggest common factor number is the GCF number.
So the greatest common factor 31424 and 31430 is 2.

Also check out the Least Common Multiple of 31424 and 31430