What is the Greatest Common Factor of 15416 and 15430?

Greatest common factor (GCF) of 15416 and 15430 is 2.

GCF(15416,15430) = 2

We will now calculate the prime factors of 15416 and 15430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15416 and 15430.

How to find the GCF of 15416 and 15430?

We will first find the prime factorization of 15416 and 15430. After we will calculate the factors of 15416 and 15430 and find the biggest common factor number .

Step-1: Prime Factorization of 15416

Prime factors of 15416 are 2, 41, 47. Prime factorization of 15416 in exponential form is:

15416 = 2³ × 41¹ × 47¹

Step-2: Prime Factorization of 15430

Prime factors of 15430 are 2, 5, 1543. Prime factorization of 15430 in exponential form is:

15430 = 2¹ × 5¹ × 1543¹

Step-3: Factors of 15416

List of positive integer factors of 15416 that divides 15416 without a remainder.

1, 2, 4, 8, 41, 47, 82, 94, 164, 188, 328, 376, 1927, 3854, 7708

Step-4: Factors of 15430

List of positive integer factors of 15430 that divides 15416 without a remainder.

1, 2, 5, 10, 1543, 3086, 7715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15416 and 15430. The biggest common factor number is the GCF number.
So the greatest common factor 15416 and 15430 is 2.

Also check out the Least Common Multiple of 15416 and 15430