What is the Greatest Common Factor of 60896 and 60904?

Greatest common factor (GCF) of 60896 and 60904 is 8.

GCF(60896,60904) = 8

We will now calculate the prime factors of 60896 and 60904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60896 and 60904.

How to find the GCF of 60896 and 60904?

We will first find the prime factorization of 60896 and 60904. After we will calculate the factors of 60896 and 60904 and find the biggest common factor number .

Step-1: Prime Factorization of 60896

Prime factors of 60896 are 2, 11, 173. Prime factorization of 60896 in exponential form is:

60896 = 2⁵ × 11¹ × 173¹

Step-2: Prime Factorization of 60904

Prime factors of 60904 are 2, 23, 331. Prime factorization of 60904 in exponential form is:

60904 = 2³ × 23¹ × 331¹

Step-3: Factors of 60896

List of positive integer factors of 60896 that divides 60896 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 173, 176, 346, 352, 692, 1384, 1903, 2768, 3806, 5536, 7612, 15224, 30448

Step-4: Factors of 60904

List of positive integer factors of 60904 that divides 60896 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 331, 662, 1324, 2648, 7613, 15226, 30452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60896 and 60904. The biggest common factor number is the GCF number.
So the greatest common factor 60896 and 60904 is 8.

Also check out the Least Common Multiple of 60896 and 60904