What is the Greatest Common Factor of 15892 and 15896?

Greatest common factor (GCF) of 15892 and 15896 is 4.

GCF(15892,15896) = 4

We will now calculate the prime factors of 15892 and 15896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15892 and 15896.

How to find the GCF of 15892 and 15896?

We will first find the prime factorization of 15892 and 15896. After we will calculate the factors of 15892 and 15896 and find the biggest common factor number .

Step-1: Prime Factorization of 15892

Prime factors of 15892 are 2, 29, 137. Prime factorization of 15892 in exponential form is:

15892 = 2² × 29¹ × 137¹

Step-2: Prime Factorization of 15896

Prime factors of 15896 are 2, 1987. Prime factorization of 15896 in exponential form is:

15896 = 2³ × 1987¹

Step-3: Factors of 15892

List of positive integer factors of 15892 that divides 15892 without a remainder.

1, 2, 4, 29, 58, 116, 137, 274, 548, 3973, 7946

Step-4: Factors of 15896

List of positive integer factors of 15896 that divides 15892 without a remainder.

1, 2, 4, 8, 1987, 3974, 7948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15892 and 15896. The biggest common factor number is the GCF number.
So the greatest common factor 15892 and 15896 is 4.

Also check out the Least Common Multiple of 15892 and 15896