What is the Greatest Common Factor of 60884 and 60896?

Greatest common factor (GCF) of 60884 and 60896 is 4.

GCF(60884,60896) = 4

We will now calculate the prime factors of 60884 and 60896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60884 and 60896.

How to find the GCF of 60884 and 60896?

We will first find the prime factorization of 60884 and 60896. After we will calculate the factors of 60884 and 60896 and find the biggest common factor number .

Step-1: Prime Factorization of 60884

Prime factors of 60884 are 2, 31, 491. Prime factorization of 60884 in exponential form is:

60884 = 2² × 31¹ × 491¹

Step-2: 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-3: Factors of 60884

List of positive integer factors of 60884 that divides 60884 without a remainder.

1, 2, 4, 31, 62, 124, 491, 982, 1964, 15221, 30442

Step-4: Factors of 60896

List of positive integer factors of 60896 that divides 60884 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60884 and 60896. The biggest common factor number is the GCF number.
So the greatest common factor 60884 and 60896 is 4.

Also check out the Least Common Multiple of 60884 and 60896