What is the Greatest Common Factor of 15458 and 15462?

Greatest common factor (GCF) of 15458 and 15462 is 2.

GCF(15458,15462) = 2

We will now calculate the prime factors of 15458 and 15462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15458 and 15462.

How to find the GCF of 15458 and 15462?

We will first find the prime factorization of 15458 and 15462. After we will calculate the factors of 15458 and 15462 and find the biggest common factor number .

Step-1: Prime Factorization of 15458

Prime factors of 15458 are 2, 59, 131. Prime factorization of 15458 in exponential form is:

15458 = 2¹ × 59¹ × 131¹

Step-2: Prime Factorization of 15462

Prime factors of 15462 are 2, 3, 859. Prime factorization of 15462 in exponential form is:

15462 = 2¹ × 3² × 859¹

Step-3: Factors of 15458

List of positive integer factors of 15458 that divides 15458 without a remainder.

1, 2, 59, 118, 131, 262, 7729

Step-4: Factors of 15462

List of positive integer factors of 15462 that divides 15458 without a remainder.

1, 2, 3, 6, 9, 18, 859, 1718, 2577, 5154, 7731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15458 and 15462. The biggest common factor number is the GCF number.
So the greatest common factor 15458 and 15462 is 2.

Also check out the Least Common Multiple of 15458 and 15462