What is the Greatest Common Factor of 15472 and 15482?

Greatest common factor (GCF) of 15472 and 15482 is 2.

GCF(15472,15482) = 2

We will now calculate the prime factors of 15472 and 15482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15472 and 15482.

How to find the GCF of 15472 and 15482?

We will first find the prime factorization of 15472 and 15482. After we will calculate the factors of 15472 and 15482 and find the biggest common factor number .

Step-1: Prime Factorization of 15472

Prime factors of 15472 are 2, 967. Prime factorization of 15472 in exponential form is:

15472 = 2⁴ × 967¹

Step-2: Prime Factorization of 15482

Prime factors of 15482 are 2, 7741. Prime factorization of 15482 in exponential form is:

15482 = 2¹ × 7741¹

Step-3: Factors of 15472

List of positive integer factors of 15472 that divides 15472 without a remainder.

1, 2, 4, 8, 16, 967, 1934, 3868, 7736

Step-4: Factors of 15482

List of positive integer factors of 15482 that divides 15472 without a remainder.

1, 2, 7741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15472 and 15482. The biggest common factor number is the GCF number.
So the greatest common factor 15472 and 15482 is 2.

Also check out the Least Common Multiple of 15472 and 15482