What is the Greatest Common Factor of 56298 and 56309?

Greatest common factor (GCF) of 56298 and 56309 is 11.

GCF(56298,56309) = 11

We will now calculate the prime factors of 56298 and 56309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56298 and 56309.

How to find the GCF of 56298 and 56309?

We will first find the prime factorization of 56298 and 56309. After we will calculate the factors of 56298 and 56309 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 56309

Prime factors of 56309 are 11, 5119. Prime factorization of 56309 in exponential form is:

56309 = 11¹ × 5119¹

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 56309

List of positive integer factors of 56309 that divides 56298 without a remainder.

1, 11, 5119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56298 and 56309. The biggest common factor number is the GCF number.
So the greatest common factor 56298 and 56309 is 11.

Also check out the Least Common Multiple of 56298 and 56309