What is the Greatest Common Factor of 56904 and 56910?

Greatest common factor (GCF) of 56904 and 56910 is 6.

GCF(56904,56910) = 6

We will now calculate the prime factors of 56904 and 56910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56904 and 56910.

How to find the GCF of 56904 and 56910?

We will first find the prime factorization of 56904 and 56910. After we will calculate the factors of 56904 and 56910 and find the biggest common factor number .

Step-1: Prime Factorization of 56904

Prime factors of 56904 are 2, 3, 2371. Prime factorization of 56904 in exponential form is:

56904 = 2³ × 3¹ × 2371¹

Step-2: Prime Factorization of 56910

Prime factors of 56910 are 2, 3, 5, 7, 271. Prime factorization of 56910 in exponential form is:

56910 = 2¹ × 3¹ × 5¹ × 7¹ × 271¹

Step-3: Factors of 56904

List of positive integer factors of 56904 that divides 56904 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2371, 4742, 7113, 9484, 14226, 18968, 28452

Step-4: Factors of 56910

List of positive integer factors of 56910 that divides 56904 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 271, 542, 813, 1355, 1626, 1897, 2710, 3794, 4065, 5691, 8130, 9485, 11382, 18970, 28455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56904 and 56910. The biggest common factor number is the GCF number.
So the greatest common factor 56904 and 56910 is 6.

Also check out the Least Common Multiple of 56904 and 56910