What is the Greatest Common Factor of 56298 and 56307?

Greatest common factor (GCF) of 56298 and 56307 is 3.

GCF(56298,56307) = 3

We will now calculate the prime factors of 56298 and 56307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56298 and 56307.

How to find the GCF of 56298 and 56307?

We will first find the prime factorization of 56298 and 56307. After we will calculate the factors of 56298 and 56307 and find the biggest common factor number .

Step-1: Prime Factorization of 56298

Prime factors of 56298 are 2, 3, 11, 853. Prime factorization of 56298 in exponential form is:

56298 = 2¹ × 3¹ × 11¹ × 853¹

Step-2: Prime Factorization of 56307

Prime factors of 56307 are 3, 137. Prime factorization of 56307 in exponential form is:

56307 = 3¹ × 137²

Step-3: Factors of 56298

List of positive integer factors of 56298 that divides 56298 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 853, 1706, 2559, 5118, 9383, 18766, 28149

Step-4: Factors of 56307

List of positive integer factors of 56307 that divides 56298 without a remainder.

1, 3, 137, 411, 18769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56298 and 56307. The biggest common factor number is the GCF number.
So the greatest common factor 56298 and 56307 is 3.

Also check out the Least Common Multiple of 56298 and 56307