What is the Greatest Common Factor of 15748 and 15758?

Greatest common factor (GCF) of 15748 and 15758 is 2.

GCF(15748,15758) = 2

We will now calculate the prime factors of 15748 and 15758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15748 and 15758.

How to find the GCF of 15748 and 15758?

We will first find the prime factorization of 15748 and 15758. After we will calculate the factors of 15748 and 15758 and find the biggest common factor number .

Step-1: Prime Factorization of 15748

Prime factors of 15748 are 2, 31, 127. Prime factorization of 15748 in exponential form is:

15748 = 2² × 31¹ × 127¹

Step-2: Prime Factorization of 15758

Prime factors of 15758 are 2, 7879. Prime factorization of 15758 in exponential form is:

15758 = 2¹ × 7879¹

Step-3: Factors of 15748

List of positive integer factors of 15748 that divides 15748 without a remainder.

1, 2, 4, 31, 62, 124, 127, 254, 508, 3937, 7874

Step-4: Factors of 15758

List of positive integer factors of 15758 that divides 15748 without a remainder.

1, 2, 7879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15748 and 15758. The biggest common factor number is the GCF number.
So the greatest common factor 15748 and 15758 is 2.

Also check out the Least Common Multiple of 15748 and 15758