What is the Greatest Common Factor of 56185 and 56202?

Greatest common factor (GCF) of 56185 and 56202 is 17.

GCF(56185,56202) = 17

We will now calculate the prime factors of 56185 and 56202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56185 and 56202.

How to find the GCF of 56185 and 56202?

We will first find the prime factorization of 56185 and 56202. After we will calculate the factors of 56185 and 56202 and find the biggest common factor number .

Step-1: Prime Factorization of 56185

Prime factors of 56185 are 5, 17, 661. Prime factorization of 56185 in exponential form is:

56185 = 5¹ × 17¹ × 661¹

Step-2: Prime Factorization of 56202

Prime factors of 56202 are 2, 3, 17, 19, 29. Prime factorization of 56202 in exponential form is:

56202 = 2¹ × 3¹ × 17¹ × 19¹ × 29¹

Step-3: Factors of 56185

List of positive integer factors of 56185 that divides 56185 without a remainder.

1, 5, 17, 85, 661, 3305, 11237

Step-4: Factors of 56202

List of positive integer factors of 56202 that divides 56185 without a remainder.

1, 2, 3, 6, 17, 19, 29, 34, 38, 51, 57, 58, 87, 102, 114, 174, 323, 493, 551, 646, 969, 986, 1102, 1479, 1653, 1938, 2958, 3306, 9367, 18734, 28101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56185 and 56202. The biggest common factor number is the GCF number.
So the greatest common factor 56185 and 56202 is 17.

Also check out the Least Common Multiple of 56185 and 56202