What is the Greatest Common Factor of 61303 and 61314?

Greatest common factor (GCF) of 61303 and 61314 is 11.

GCF(61303,61314) = 11

We will now calculate the prime factors of 61303 and 61314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61303 and 61314.

How to find the GCF of 61303 and 61314?

We will first find the prime factorization of 61303 and 61314. After we will calculate the factors of 61303 and 61314 and find the biggest common factor number .

Step-1: Prime Factorization of 61303

Prime factors of 61303 are 11, 5573. Prime factorization of 61303 in exponential form is:

61303 = 11¹ × 5573¹

Step-2: Prime Factorization of 61314

Prime factors of 61314 are 2, 3, 11, 929. Prime factorization of 61314 in exponential form is:

61314 = 2¹ × 3¹ × 11¹ × 929¹

Step-3: Factors of 61303

List of positive integer factors of 61303 that divides 61303 without a remainder.

1, 11, 5573

Step-4: Factors of 61314

List of positive integer factors of 61314 that divides 61303 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 929, 1858, 2787, 5574, 10219, 20438, 30657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61303 and 61314. The biggest common factor number is the GCF number.
So the greatest common factor 61303 and 61314 is 11.

Also check out the Least Common Multiple of 61303 and 61314