What is the Greatest Common Factor of 56874 and 56883?

Greatest common factor (GCF) of 56874 and 56883 is 3.

GCF(56874,56883) = 3

We will now calculate the prime factors of 56874 and 56883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56874 and 56883.

How to find the GCF of 56874 and 56883?

We will first find the prime factorization of 56874 and 56883. After we will calculate the factors of 56874 and 56883 and find the biggest common factor number .

Step-1: Prime Factorization of 56874

Prime factors of 56874 are 2, 3, 9479. Prime factorization of 56874 in exponential form is:

56874 = 2¹ × 3¹ × 9479¹

Step-2: Prime Factorization of 56883

Prime factors of 56883 are 3, 67, 283. Prime factorization of 56883 in exponential form is:

56883 = 3¹ × 67¹ × 283¹

Step-3: Factors of 56874

List of positive integer factors of 56874 that divides 56874 without a remainder.

1, 2, 3, 6, 9479, 18958, 28437

Step-4: Factors of 56883

List of positive integer factors of 56883 that divides 56874 without a remainder.

1, 3, 67, 201, 283, 849, 18961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56874 and 56883. The biggest common factor number is the GCF number.
So the greatest common factor 56874 and 56883 is 3.

Also check out the Least Common Multiple of 56874 and 56883