What is the Greatest Common Factor of 56871 and 56883?

Greatest common factor (GCF) of 56871 and 56883 is 3.

GCF(56871,56883) = 3

We will now calculate the prime factors of 56871 and 56883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56871 and 56883.

How to find the GCF of 56871 and 56883?

We will first find the prime factorization of 56871 and 56883. After we will calculate the factors of 56871 and 56883 and find the biggest common factor number .

Step-1: Prime Factorization of 56871

Prime factors of 56871 are 3, 71, 89. Prime factorization of 56871 in exponential form is:

56871 = 3² × 71¹ × 89¹

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 56871

List of positive integer factors of 56871 that divides 56871 without a remainder.

1, 3, 9, 71, 89, 213, 267, 639, 801, 6319, 18957

Step-4: Factors of 56883

List of positive integer factors of 56883 that divides 56871 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56871 and 56883. The biggest common factor number is the GCF number.
So the greatest common factor 56871 and 56883 is 3.

Also check out the Least Common Multiple of 56871 and 56883