What is the Greatest Common Factor of 15448 and 15458?

Greatest common factor (GCF) of 15448 and 15458 is 2.

GCF(15448,15458) = 2

We will now calculate the prime factors of 15448 and 15458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15448 and 15458.

How to find the GCF of 15448 and 15458?

We will first find the prime factorization of 15448 and 15458. After we will calculate the factors of 15448 and 15458 and find the biggest common factor number .

Step-1: Prime Factorization of 15448

Prime factors of 15448 are 2, 1931. Prime factorization of 15448 in exponential form is:

15448 = 2³ × 1931¹

Step-2: 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-3: Factors of 15448

List of positive integer factors of 15448 that divides 15448 without a remainder.

1, 2, 4, 8, 1931, 3862, 7724

Step-4: Factors of 15458

List of positive integer factors of 15458 that divides 15448 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15448 and 15458. The biggest common factor number is the GCF number.
So the greatest common factor 15448 and 15458 is 2.

Also check out the Least Common Multiple of 15448 and 15458