What is the Greatest Common Factor of 56290 and 56303?

Greatest common factor (GCF) of 56290 and 56303 is 13.

GCF(56290,56303) = 13

We will now calculate the prime factors of 56290 and 56303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56290 and 56303.

How to find the GCF of 56290 and 56303?

We will first find the prime factorization of 56290 and 56303. After we will calculate the factors of 56290 and 56303 and find the biggest common factor number .

Step-1: Prime Factorization of 56290

Prime factors of 56290 are 2, 5, 13, 433. Prime factorization of 56290 in exponential form is:

56290 = 2¹ × 5¹ × 13¹ × 433¹

Step-2: Prime Factorization of 56303

Prime factors of 56303 are 13, 61, 71. Prime factorization of 56303 in exponential form is:

56303 = 13¹ × 61¹ × 71¹

Step-3: Factors of 56290

List of positive integer factors of 56290 that divides 56290 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 433, 866, 2165, 4330, 5629, 11258, 28145

Step-4: Factors of 56303

List of positive integer factors of 56303 that divides 56290 without a remainder.

1, 13, 61, 71, 793, 923, 4331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56290 and 56303. The biggest common factor number is the GCF number.
So the greatest common factor 56290 and 56303 is 13.

Also check out the Least Common Multiple of 56290 and 56303